Properties of the Number 40880

Forty Thousand Eight Hundred Eighty

Basics

Value: 40879 → 40880 → 40881

Parity: even

Prime: No

Previous Prime: 40879

Next Prime: 40883

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 5 × 7 × 73

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111110110000

Octal: 117660

Duodecimal: 1B7A8

Hexadecimal: 9fb0

Square: 1671174400

Square Root: 202.18803129760178

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

Number of ternary Lyndon words whose digits sum to 1 (or 2) mod 3; number of trace 1 (or 2) monic irreducible polynomials over GF(3). A46211

Number of ternary Lyndon words whose digits sum to 0 mod 3; also number of trace 0 irreducible polynomials over GF(3). A46209

Total number of congruence subgroups of PSL(2,Z) of genus n. A258691

Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k·n; sequence gives the (3,k)-perfect numbers. A19292

Fermat quotient of the n-th prime with base 3. A146211

G.f.: exp( ∑_n>=1 xⁿ/n * ∏_k>=1 1/(1 - x^n·k*(1 + xⁿ)^k) ). A219230

Expansion of 1/(1 - 2·x - 2·x² - 3·x³). A77834

G.f.: A(x) = exp( ∑_n>=1 2*σ(n,n-1)*xⁿ/n ). A158095

Carlitz compositions of n into odd parts. A218694

a(n) = 5*(3·n+1)*(9·n+8)/2 (n>=0). A304508