Properties of the Number 29757

Twenty-Nine Thousand Seven Hundred Fifty-Seven

Basics

Value: 29756 → 29757 → 29758

Parity: odd

Prime: No

Previous Prime: 29753

Next Prime: 29759

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 13 × 109

Divisors: 1, 3, 7, 13, 21, 39, 91, 109, 273, 327

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010000111101

Octal: 72075

Duodecimal: 15279

Hexadecimal: 743d

Square: 885479049

Square Root: 172.5021738993454

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 unimodal partitions/compositions of n into distinct terms. A72706

p²-p+1 central polygonal numbers with prime indices A002061(prime(n)). A119959

Number of nonisomorphic unfoldings of the n-th Johnson solid. A343210

Fixed points of permutations A261333, A261334. A261335

Sum of next n odd interprimes. A75674

Number of parts in all partitions of n in which no part occurs more than seven times. A320610

Expansion of e.g.f.: sech(sin(x)+log(x+1))=1-4/2!*x²+6/3!*x³+69/4!*x⁴-330/5!*x⁵... A12898

Expansion of (1 + 6·x + x² + 12·x³ - 2·x⁴)/((1 - x)⁴*(1 + x)³). A268579

Number of septenary sequences of length n such that no two consecutive terms have distance 1. A287808

a(n) is the number of geometrically distinct edge-unfoldings of the regular n-gonal cupola. A343273