Properties of the Number 23358

Twenty-Three Thousand Three Hundred Fifty-Eight

Basics

Value: 23357 → 23358 → 23359

Parity: even

Prime: No

Previous Prime: 23357

Next Prime: 23369

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 17 × 229

Divisors: 1, 2, 3, 6, 17, 34, 51, 102, 229, 458

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101100111110

Octal: 55476

Duodecimal: 11626

Hexadecimal: 5b3e

Square: 545596164

Square Root: 152.83324245726124

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

G.f.: ∑_n>=0 binomial(4*(n+1), n)/(n+1) * xⁿ / (1+x)ⁿ⁺¹. A317133

Triangular matrix, read by rows, where T(n,k) = T(n-1,k) - [T^-1](n-1,k-1); also equals the matrix inverse of A060083 (Euler polynomials). A102054

a(n) is the number m such that f(sqrt(n)) is in the field Q(sqrt(m)), where f(x) is defined from the continued fraction x = [c(0), c(1), ... ] as [c(0)², c(1)², ...]. A229959

Number of (w,x,y,z) with all terms in {0,...,n} and |w-x|<|x-y|<|y-z|. A212902

a(0) = 0, a(1) = a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 16, for n>5: a(n+1) = SORT[ a(n) + a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5) + a(n-6)], where SORT places digits in ascending order and deletes 0's. A108567

Number of non-intersecting unit cubes regularly packed into the tetrahedron of edge length n. A219965

a(n) = ∑_k=0..n p(k) where p(k) = number of partitions of k (A000041). A70

Functional determinants; partitions of partitions; Euler transform applied twice to all 1's sequence. A1970

Number of compositions into sums of cubes. A23358

a(n) = n*(5·n² - 3·n + 4) / 6. A203552