Properties of the Number 13657

Thirteen Thousand Six Hundred Fifty-Seven

Basics

Value: 13656 → 13657 → 13658

Parity: odd

Prime: No

Previous Prime: 13649

Next Prime: 13669

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 × 1951

Divisors: 1, 7, 1951, 13657

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101011001

Octal: 32531

Duodecimal: 7AA1

Hexadecimal: 3559

Square: 186513649

Square Root: 116.86316785026837

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

G.f.: ∑_{n >= 1} xⁿ/(1-xⁿ)⁵. A73570

Number of partitions of n where the difference between consecutive parts is at most 7. A238867

Triangle, read by rows, where row n equals row n of matrix power A132844ⁿ for n>=0, where triangle A132844 is defined by: A132844(n,k) = T( [(n+k)/2], k) for n>=k>=0. A132845

Column 1 of triangle A132845. A132847

Number of ways to write n as an ordered sum of seven positive Fibonacci numbers (with a single type of 1). A357694

Lucky numbers with size of gaps equal to 20 (lower terms). A31902

Number of colored compositions using all colors of an n-set such that all parts have different color patterns and the patterns for parts i have i distinct colors in increasing order. A327585

a(n) = self-convolution of row n of array T given by A027052. A27072

Number of horizontally convex n-ominoes in which the top row has exactly 1 square, which is not above the rightmost square in the second row and the rightmost square in the second row is above the leftmost square in the third row. A49222

Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w²>x²+y². A211810