Properties of the Number 8100

Eight Thousand One Hundred

Basics

Value: 8099 → 8100 → 8101

Parity: even

Prime: No

Previous Prime: 8093

Next Prime: 8101

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴ × 5 ²

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1111110100100

Octal: 17644

Duodecimal: 4830

Hexadecimal: 1fa4

Square: 65610000

Square Root: 90

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

Even squares: a(n) = (2·n)². A16742

Euler transform of σ(n), cf. A000203. A61256

a(n) = 2ⁿ - 1 - n*(n+1)/2. A2662

Exponential abundant numbers: integers k for which A126164(k) > k, or equivalently for which A051377(k) > 2k. A129575

Denominator of 1/4 - 1/n². A61038

a(n) = σ(n)². A72861

a(n) = σ(n) * A003961(n), where A003961 shifts the prime factorization of n one step towards larger primes, and σ is the sum of the divisors of n. A341529

Sum of 10 nonzero 8th powers. A3388

Generalized 27-gonal (or icosiheptagonal) numbers: m*(25·m - 23)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A316725

Perfect powers of nonsquarefree numbers k that are not squareful. A386762