Properties of the Number 12969

Twelve Thousand Nine Hundred Sixty-Nine

Basics

Value: 12968 → 12969 → 12970

Parity: odd

Prime: No

Previous Prime: 12967

Next Prime: 12973

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 131

Divisors: 1, 3, 9, 11, 33, 99, 131, 393, 1179, 1441

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001010101001

Octal: 31251

Duodecimal: 7609

Hexadecimal: 32a9

Square: 168194961

Square Root: 113.88151737661384

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

Number of integer partitions of n that cannot be partitioned into a set of sets. A382078

Starts of runs of 3 consecutive lazy-tribonacci-Niven numbers (A352107). A352109

a(0)=1, a(1)=1, a(n) = 9·a(n/2) for even n >= 2, and a(n) = 8·a((n-1)/2) + a((n+1)/2) for odd n >= 3. A116526

a(n) = n*(25·n - 39)/2. A263231

a(n)² is the end of the first occurrence of n consecutive perfect powers, all of which are squares with exponents equal to 2 (A111245). A340664

Number of vertices in a polygon whose boundary consists of n+2 equally spaced points around a semicircle and n+2 equally spaced points along the diameter (a total of 2n+2 points). See Comments for precise definition. A334458

a(n) is the least integer k such that 1/(∑_j=1..n 1/φ(k·j)) is an integer. A341810

Numerators of continued fraction convergents to sqrt(550). A42052

Numerators of continued fraction convergents to sqrt(554). A42060

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of ∏_j>=1 1/(1 - j^k*x^j)^j. A294582