Properties of the Number 7735

Seven Thousand Seven Hundred Thirty-Five

Basics

Value: 7734 → 7735 → 7736

Parity: odd

Prime: No

Previous Prime: 7727

Next Prime: 7741

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 7 × 13 × 17

Divisors: 1, 5, 7, 13, 17, 35, 65, 85, 91, 119

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000110111

Octal: 17067

Duodecimal: 4587

Hexadecimal: 1e37

Square: 59830225

Square Root: 87.94884877018005

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

Table T(n,k) read by downward antidiagonals: number of Lyndon words (aperiodic necklaces) with n beads of k colors, n >= 1, k >= 1. A74650

a(n) = (n-1)*n*(n+4)/6. A5581

Number of reduced words of length n in the Weyl group D₃₅. A162384

Number of partitions of n having positive odd rank (the rank of a partition is the largest part minus the number of parts). A101707

Numbers m that are the hypotenuse of exactly 13 distinct integer-sided right triangles, i.e., m² can be written as a sum of two squares in 13 ways. A97102

Table T(n,k) by antidiagonals. T(n,k) is the number of length n primitive (=aperiodic or period n) k-ary words (n,k >= 1) which are earlier in lexicographic order than any other word derived by cyclic shifts of the alphabet. A143325

Squarefree integers m > 1 such that if prime p divides m, then the sum of the base p digits of m is at least p. A324315

Number of aperiodic necklaces of n beads of 6 colors; dimensions of free Lie algebras. A32164

A sum over partitions (q=6), see first comment. A221578

Number of Lyndon words (aperiodic necklaces) with n beads of n colors. A75147