Properties of the Number 4580

Four Thousand Five Hundred Eighty

Basics

Value: 4579 → 4580 → 4581

Parity: even

Prime: No

Previous Prime: 4567

Next Prime: 4583

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 × 229

Divisors: 1, 2, 4, 5, 10, 20, 229, 458, 916, 1145

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1000111100100

Octal: 10744

Duodecimal: 2798

Hexadecimal: 11e4

Square: 20976400

Square Root: 67.67569726275453

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+1) = a(n) + a(n-1) + Fibonacci(n), with a(0) = 0 and a(1) = 1. A29907

Generalized 26-gonal (or icosihexagonal) numbers: m*(12·m - 11) with m = 0, +1, -1, +2, -2, +3, -3, ... A316724

Numbers n such that Bernoulli number B_n has denominator 330. A272183

Number of integer partitions of n with a unique prime part. A379304

T(n,k)=Number of nXk 0..3 arrays with rows unimodal and antidiagonals nondecreasing. A224204

T(n,k)=Number of nXk 0..3 arrays with diagonals and rows unimodal and antidiagonals nondecreasing. A224281

Number of integer partitions of n into odd, relatively prime parts. A366843

Numbers k that divide 4^k + 4. A15889

a(n) = a(n-1)+a(m), where m=2n-2-2^p+1 and 2^p<n-1<=2^p+1, for n >= 4. A50071

26-gonal numbers: a(n) = n*(12·n-11). A255185