Properties of the Number 90080

Ninety Thousand Eighty

Basics

Value: 90079 → 90080 → 90081

Parity: even

Prime: No

Previous Prime: 90073

Next Prime: 90089

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 5 × 563

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101111111100000

Octal: 257740

Duodecimal: 44168

Hexadecimal: 15fe0

Square: 8114406400

Square Root: 300.1333037168651

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

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

Triangle read by rows: Take a pentagram with all diagonals drawn, as in A331906. Then T(n,k) = number of k-sided polygons in that figure for k = 3, 4, ..., n+2. A331907

a(n) = floor(n^m) where m = ∑_k=1..n (1/k). A67038

High temperature expansion of -u/J in odd powers of v = tanh(J/kT), where u is energy per site of the spin-1/2 Ising model on square lattice with nearest-neighbor interaction J at temperature T. A2908

Low-temperature series in u = exp(-4J/kT) for ferromagnetic susceptibility for the spin-1/2 Ising model on hexagonal lattice. A47709

High-temperature series in v = tanh(J/kT) for susceptibility for the Ising model on honeycomb structure. A2910

Low-temperature series in y = exp(2J/kT) for antiferromagnetic susceptibility for the Ising model on honeycomb structure. A2978

Low-temperature series in z = exp(-2J/kT) for ferromagnetic susceptibility for the Ising model on honeycomb structure. A2912

Coordination sequence for tridymite, lonsdaleite, and wurtzite. A8264

Low temperature energy function for square lattice. A2909

a(0)=5; otherwise a(n) = (n mod 4) if n is odd, a(n) = h + 4, where h = (highest odd divisor of n) mod 4 if n is even. A122002