Properties of the Number 90880

Ninety Thousand Eight Hundred Eighty

Basics

Value: 90879 → 90880 → 90881

Parity: even

Prime: No

Previous Prime: 90863

Next Prime: 90887

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁸ × 5 × 71

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: 10110001100000000

Octal: 261400

Duodecimal: 44714

Hexadecimal: 16300

Square: 8259174400

Square Root: 301.4630989026684

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

a(n)=n for n <= 3, a(n) = 2a(n-1) - 2a(n-2) + 2a(n-3) for n >= 4. A104767

Coefficient of·in the reduction (by x²->x+1) of polynomial p(n,x) identified in Comments. A192351

T(n, m) = ∑_k=1..(m+3)/2 C(m-k+2, k-1)*C(n+1, k-1)*C(n-m+k-1, k-1)*C(2·n-2·k+4, 2·m-4·k+5)/(C(2·k-2, k-1)*C(2·m-2·k+4, 2·k-2))/2, triangle read by rows. A338372

Suppose n=(p1^e1)(p2^e2)... where p1,p2,... are the prime numbers and e1,e2,... are nonnegative integers. Then a(n) = e1 + (e2)*3 + (e3)*9 + (e4)*27 + ... + (ek)*(3^k-1) + ... A90880

Number of genus 2 partitions of the set [3n] into n blocks of length 3. A371251

E.g.f. satisfies: A'(x) = A(x)⁴ / A(-x) with A(0) = 1. A235345