8000 (number)

8000 (eight thousand) is the natural number following 7999 and preceding 8001.

8000 is the cube of 20, as well as the sum of four consecutive integers cubed, 11³ + 12³ + 13³ + 14³.

The fourteen tallest mountains on Earth, which exceed 8000 meters in height, are sometimes referred to as eight-thousanders.^[1]

Selected numbers in the range 8001–8999

• 8001 – triangular number
• 8002 – Mertens function zero
• 8011 – Mertens function zero
• 8012 – Mertens function zero
• 8017 – Mertens function zero
• 8021 – Mertens function zero
• 8039 – safe prime
• 8069 – Sophie Germain prime
• 8093 – Sophie Germain prime
• 8100 – 90²
• 8111 – Sophie Germain prime
• 8117 – balanced prime
• 8119 – octahedral number^[2]
• 8125 – pentagonal pyramidal number^[3]
• 8128 – perfect number, harmonic divisor number, 127th triangular number, 64th hexagonal number, eighth 292-gonal number, fourth 1356-gonal number
• 8147 – safe prime
• 8189 – highly cototient number
• 8190 – harmonic divisor number
• 8191 – Mersenne prime
• 8192 – power of two
• 8208 – base 10 narcissistic number as 8⁴ + 2⁴ + 0⁴ + 8⁴ = 8208^[4]
• 8233 – centered heptagonal number
• 8243 – Sophie Germain prime
• 8256 – triangular number
• 8257 – sum of the squares of the first fourteen primes
• 8269 – cuban prime of the form x = y + 1^[5]
• 8273 – Sophie Germain prime
• 8281 – 91², sum of the cubes of the first thirteen integers, nonagonal number, centered octagonal number
• 8321 – super-Poulet number^[6]
• 8326 – decagonal number^[7]
• 8361 – Leyland number^[8]
• 8385 – triangular number
• 8423 – safe prime
• 8436 – tetrahedral number^[9]
• 8464 – 92²
• 8513 – Sophie Germain prime
• 8515 – triangular number
• 8543 – safe prime
• 8555 – square pyramidal number^[10]
• 8576 – centered heptagonal number
• 8625 – enneagonal number
• 8646 – triangular number
• 8649 – 93², centered octagonal number
• 8663 – Sophie Germain prime
• 8693 – Sophie Germain prime
• 8695 – decagonal number
• 8699 – safe prime
• 8712 – smallest number that is divisible by its reverse: 8712 = 4 × 2178 (excluding palindromes and numbers with trailing zeros)
• 8713 – balanced prime
• 8741 – Sophie Germain prime
• 8747 – safe prime, balanced prime
• 8751 – perfect totient number^[11]
• 8760 - the number of hours in a non-leap year; 365 × 24
• 8778 – triangular number
• 8783 – safe prime
• 8784 - the number of hours in a leap year; 366 × 24
• 8801 – magic constant of n × n normal magic square and n-Queens Problem for n = 26.
• 8819 – safe prime
• 8833 – 88² + 33²
• 8836 – 94²
• 8855 – member of a Ruth-Aaron pair (first definition) with 8856
• 8856 – member of a Ruth-Aaron pair (first definition) with 8855
• 8911 – Carmichael number,^[12] triangular number
• 8926 – centered heptagonal number
• 8944 – sum of the cubes of the first seven primes
• 8951 – Sophie Germain prime
• 8963 – safe prime
• 8969 – Sophie Germain prime
• 8976 – enneagonal number

References