Properties of the Number 12699

Twelve Thousand Six Hundred Ninety-Nine

Basics

Value: 12698 → 12699 → 12700

Parity: odd

Prime: No

Previous Prime: 12697

Next Prime: 12703

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 17 × 83

Divisors: 1, 3, 9, 17, 51, 83, 153, 249, 747, 1411

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000110011011

Octal: 30633

Duodecimal: 7423

Hexadecimal: 319b

Square: 161264601

Square Root: 112.68983982595769

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 number of tilings of an equilateral triangle of side length n with k lozenges and n² - 2·k unit triangles. Triangle T(n, k) with n >= 1 and 0 <= k <= n*(n + 1)/2, read by rows. A273464

Number of narrowly totally normal compositions of n. A332296

Number of tilings of an equilateral triangle of side length n with unit triangles (of side length 1) and exactly four unit "lozenges" or "diamonds" (also of side length 1). A326369

Square array, read by antidiagonals, used to recursively calculate A080635. A185416

Number of edges in an equilateral triangle when n internal equilateral triangles are drawn between the 3n points that divide each side into n+1 equal parts. A357008

G.f.: ∏_{k>=1, j>=1} 1/(1 - x^j·k⁴). A280662

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={3,4}. A79958

Lucky numbers with size of gaps equal to 20 (upper terms). A31903

Smallest number that takes n steps to reach 0 under "k->max product of 2 numbers whose concatenation is k". A35932

Expansion of (5 - 9·x + 6·x²)/(1-x)⁴. A80957