Properties of the Number 47579

Forty-Seven Thousand Five Hundred Seventy-Nine

Basics

Value: 47578 → 47579 → 47580

Parity: odd

Prime: No

Previous Prime: 47569

Next Prime: 47581

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 7 ² × 971

Divisors: 1, 7, 49, 971, 6797, 47579

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011100111011011

Octal: 134733

Duodecimal: 2364B

Hexadecimal: b9db

Square: 2263761241

Square Root: 218.12611031236037

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 superdiagonal partitions: partitions (p1, p2, p3, ...) of n such that π >= i. A238873

Series expansion of the exponential generating function exp(-dend(-x))-1 where dend(x) = (1 - sqrt(1+4·x)) / (2·x) + 1 (given by A000108). A383990

Number of partitions of n such that the least part occurs with even multiplicity. A96374

a(1)=2; for n > 1, a(n) is the square root of the smallest square with a(n-1) as a prefix in base 10. A308055

A variation on Euclid: a(n)=g(n)-1, where g(0)=0, g(1)=1, g(n+1)=g(n)(g(n-1)+1). A7807

Coefficient of·in the reduction by x²->x+1 of the polynomial p(n,x) defined at Comments. A193045

Number of partitions of n that contain at least one odd prime as a part. A355193

Numbers that are congruent to {0, 2, 5, 6, 7} mod 8. A47579

Number of (n+1)X(1+1) 0..7 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 14. A234338