Properties of the Number 4560

Four Thousand Five Hundred Sixty

Basics

Value: 4559 → 4560 → 4561

Parity: even

Prime: No

Previous Prime: 4549

Next Prime: 4561

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 × 19

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1000111010000

Octal: 10720

Duodecimal: 2780

Hexadecimal: 11d0

Square: 20793600

Square Root: 67.52777206453653

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

Hexagonal numbers: a(n) = n*(2·n-1). A384

3 times pentagonal numbers: 3·n*(3·n-1)/2. A62741

a(n) = 3·n² + 6·n. A67725

Numbers that can be expressed as the difference of the squares of primes in just three distinct ways. A90782

a(n) = 2·n*(4·n - 1). A14635

Even triangular numbers. A14494

Irregular triangle read by rows where T(n,k) is the number of labeled simple graphs with n vertices and exactly k triangles, 0 <= k <= binomial(n,3). A372170

Expansion of ∏_{m >= 1} (1 + q^m)^-2. A22597

Numbers k such that σ (x) = k has exactly 12 solutions. A60676

A partition product of Stirling₁ type [parameter k = 4] with biggest-part statistic (triangle read by rows). A157394