Properties of the Number 12693

Twelve Thousand Six Hundred Ninety-Three

Basics

Value: 12692 → 12693 → 12694

Parity: odd

Prime: No

Previous Prime: 12689

Next Prime: 12697

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 4231

Divisors: 1, 3, 4231, 12693

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000110010101

Octal: 30625

Duodecimal: 7419

Hexadecimal: 3195

Square: 161112249

Square Root: 112.66321493726335

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

Row 5 of A277710: Positions of 5's in A264977; positions of 10's in A277330. A277715

Number of bipartite partitions of n white objects and 7 black ones. A2756

Triangle read by rows: T(n,k) (0 <= k <= n) is the number of partitions of (n,k) into a sum of pairs. A201376

Number of bipartite partitions of n white objects and 10 black ones. A2759

Indices of primes in A000219. A285216

Number of compositions of n with difference 1 between the number of odd parts and the number of even parts, both counted without multiplicity. A242841

Semiprimes (A001358) whose digit reversal is a triangular number. A115741

Euler or up/down numbers: e.g.f. sec(x) + tan(x). Also for n >= 2, half the number of alternating permutations on n letters (A001250). A111

Kolakoski sequence: a(n) is length of n-th run; a(1) = 1; sequence consists just of 1's and 2's. A2

Square array A(n,k) = A276156((2^n-1) * (2k-1)) / A002110(n-1), read by descending antidiagonals. A328464