Properties of the Number 8000

Eight Thousand

Basics

Value: 7999 → 8000 → 8001

Parity: even

Prime: No

Previous Prime: 7993

Next Prime: 8009

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ⁶ × 5 ³

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1111101000000

Octal: 17500

Duodecimal: 4768

Hexadecimal: 1f40

Square: 64000000

Square Root: 89.44271909999159

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

The cubes: a(n) = n³. A578

Product of divisors of n. A7955

3-full (or cube-full, or cubefull) numbers: if a prime p divides n then so does p³. A36966

Numbers of the form 2ⁱ*5^j with i, j >= 0. A3592

Numbers that are divisible by exactly 9 primes with multiplicity. A46312

a(n) = 5·n². A33429

Powers of 20. A9964

Perfect powers m^k where m is a positive integer and k >= 3. A76467

a(n) = binomial(2n,n)³. A2897

a(n) is the maximal number of a's that can be produced in a blank document with n "keystrokes". A193286