Properties of the Number 5336

Five Thousand Three Hundred Thirty-Six

Basics

Value: 5335 → 5336 → 5337

Parity: even

Prime: No

Previous Prime: 5333

Next Prime: 5347

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 23 × 29

Divisors: 1, 2, 4, 8, 23, 29, 46, 58, 92, 116

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011011000

Octal: 12330

Duodecimal: 3108

Hexadecimal: 14d8

Square: 28472896

Square Root: 73.0479294709987

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

The n-th n-gonal number: a(n) = n*(n² - 3·n + 4)/2. A60354

Generalized 23-gonal (or icositrigonal) numbers: m*(21·m - 19)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303303

a(n) = 2 * ∑_k=0..n-1 binomial(n-1, k)*binomial(n+k, k). A2003

a(n) = n*(13·n - 9)/2. A226488

Numbers k whose abundance is 128: σ(k) - 2·k = 128. A292626

Triangle read by rows: T(n,k) = number of vertices in a "frame" of size n X k (see Comments in A331457 for definition). A332599

Triangle of numbers a(n,k) = number of Young tableaux with n cells and k rows (1 <= k <= n); also number of self-inverse permutations on n letters in which the length of the longest scattered (i.e., not necessarily contiguous) increasing subsequence is k. A47884

Array of coordination sequences for cubic lattices (rows) and of numbers of L1 forms in cubic lattices (columns) (array read by antidiagonals). A119800

a(2·k) = k*(10·k+2), a(2·k+1) = 10·k² + 18·k + 8, with k >= 0. A132356

Row sums of A123160. A123164