Properties of the Number 13279

Thirteen Thousand Two Hundred Seventy-Nine

Basics

Value: 13278 → 13279 → 13280

Parity: odd

Prime: No

Previous Prime: 13267

Next Prime: 13291

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 ² × 271

Divisors: 1, 7, 49, 271, 1897, 13279

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001111011111

Octal: 31737

Duodecimal: 7827

Hexadecimal: 33df

Square: 176331841

Square Root: 115.2345434320803

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

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero. A304156

Index of n-th prime in A386482, or -1 if that prime is missing. A386483

a(n) is the smallest k such that A307092(k) = n. A307074

Expansion of ∏_k>=1 (1 - x^k/(1 - x)^k). A307310

a(n) is the index where A387090(n) appears in A386482. A386484

One seventh of the sum of the first n primes, when an integer. A112272

Number of partitions of n containing at least one part m-4 if m is the largest part. A212544

Numbers n such that the average of the positive divisors of n is a Fibonacci number. A272440

Positions of first appearances in A124771 = number of distinct contiguous subsequences of compositions in standard order. A335279

T(n,n-4), array T as in A038792. A38794