Properties of the Number 45577

Forty-Five Thousand Five Hundred Seventy-Seven

Basics

Value: 45576 → 45577 → 45578

Parity: odd

Prime: No

Previous Prime: 45569

Next Prime: 45587

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 7 × 17 × 383

Divisors: 1, 7, 17, 119, 383, 2681, 6511, 45577

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001000001001

Octal: 131011

Duodecimal: 22461

Hexadecimal: b209

Square: 2077262929

Square Root: 213.48770456398654

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

Growth series for affine Coxeter group B₁₂. A267175

Growth series for affine Coxeter group (or affine Weyl group) D₁₂. A266767

a(n) is the smallest value of m such that prod(m) = n·length(m)*sum(m) where prod(m) is the product of the digits of m, length(m) is the number of digits of m, sum(m) is the sum of the digits of m; or 0 if no such m exists. A64022

Numbers k such that starting with prime(k) 3, 5, 7, 9, and 11 consecutive primes sum up to prime numbers. A288142

Expansion of (1-x)^-1/(1+2·x²+x³). A77894

Numbers k that divide 4^k + 2^k or 8^k + 4^k. A45577

G.f. satisfies A(x) = x + x·A(A(A(A(A(A(x)))))), so that this sequence shifts left under the 6th self-COMPOSE. A378576