Properties of the Number 2356

Two Thousand Three Hundred Fifty-Six

Basics

Value: 2355 → 2356 → 2357

Parity: even

Prime: No

Previous Prime: 2351

Next Prime: 2357

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 19 × 31

Divisors: 1, 2, 4, 19, 31, 38, 62, 76, 124, 589

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 100100110100

Octal: 4464

Duodecimal: 1444

Hexadecimal: 934

Square: 5550736

Square Root: 48.53864439804639

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

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

Number of collections of nonempty multisets with a total of n objects having color set {1,...,k} for some k<=n. A255906

Number of integer partitions of n not containing their mean. A327472

a(n) = 3·a(n-1) + a(n-2) - a(n-3) for n >= 3, a(0)=1, a(1)=2, a(2)=7. A30186

Numbers m such that there are precisely 9 groups of order m. A249552

a(n) = floor(n*φ⁹), where φ is the golden ratio, A001622. A4924

Triangle read by rows: T(n,k) (1 <= k <= n) = number of monomer-dimer tilings of an n X k board. A210662

BII-numbers of blobs. A326751

Number of strict integer partitions of n with a part equal to the sum of two distinct others. A variation of sum-full strict partitions. A364670

Dowling numbers: e.g.f. exp(x + (exp(b·x)-1)/b) with b=10. A3582