Properties of the Number 2353

Two Thousand Three Hundred Fifty-Three

Basics

Value: 2352 → 2353 → 2354

Parity: odd

Prime: No

Previous Prime: 2351

Next Prime: 2357

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 13 × 181

Divisors: 1, 13, 181, 2353

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100110001

Octal: 4461

Duodecimal: 1441

Hexadecimal: 931

Square: 5536609

Square Root: 48.507731342539614

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

Central polygonal numbers: a(n) = n² - n + 1. A2061

a(n) = 4·n² - 6·n + 3. A54569

Third spoke of a hexagonal spiral. A56107

a(n) = C(1,1) + C(3,2) + C(5,3) + ... + C(2·n-1,n). A79309

Generalized 28-gonal (or icosioctagonal) numbers: m*(13·m - 12) with m = 0, +1, -1, +2, -2, +3, -3, ... A303812

a(n) = n*(7·n - 1)/2. A22264

Table read by ascending antidiagonals: T(n, m) giving total degree of n-th-order elementary symmetric polynomials in m variables. A50446

Table T(n,m) giving total degree of n-th-order elementary symmetric polynomials in m variables, -1 <= n, 1 <= m, transposed and read by upward antidiagonals. A50447

a(n) = ∑_{d∣n, n/d == 1 (mod 4)} d² - ∑_{d∣n, n/d == 3 (mod 4)} d². A50470

Expansion of Jacobi θ constant theta₂⁶ /(64q^3/2). A8440