Properties of the Number 2456

Two Thousand Four Hundred Fifty-Six

Basics

Value: 2455 → 2456 → 2457

Parity: even

Prime: No

Previous Prime: 2447

Next Prime: 2459

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 307

Divisors: 1, 2, 4, 8, 307, 614, 1228, 2456

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110011000

Octal: 4630

Duodecimal: 1508

Hexadecimal: 998

Square: 6031936

Square Root: 49.558046773455466

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(1)=1, a(n)=a(n-1)+n if n even, a(n)=a(n-1)+n² if n is odd. A136047

Smaller of two consecutive numbers each divisible by a cube greater than one. A68140

Expansion of (1-x+x²)/((1-x)²*(1-x²)*(1-x⁴)). A5232

The EG1 triangle. A162005

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = floor(n/2), s = (natural numbers >= 3), t = (Fibonacci numbers). A24315

G.f.: 1/(1 + x·d/dx log(η(x))), where η(x) is Dedekind's η(q) function without the q^1/24 factor. A180305

Partial sums of ceiling(n²/2) (A000982). A131941

Numbers k such that k and k+1 are both base φ Niven numbers (A334308). A334309

Number of integer compositions of n that are the first sums of some composition. A391683

Numbers that are the sum of 3 positive cubes in more than one way. A8917