Properties of the Number 29945

Twenty-Nine Thousand Nine Hundred Forty-Five

Basics

Value: 29944 → 29945 → 29946

Parity: odd

Prime: No

Previous Prime: 29927

Next Prime: 29947

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 5 × 53 × 113

Divisors: 1, 5, 53, 113, 265, 565, 5989, 29945

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010011111001

Octal: 72371

Duodecimal: 153B5

Hexadecimal: 74f9

Square: 896703025

Square Root: 173.04623659588788

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

a(1) = 73, a(n) = prime(a(n-1)) - 4·a(n-1). A179516

Number of lattice paths from (0,0) to (n,n) using steps (0,1), (0,2), (1,0), (2,0), and (2,2). A192369

a(n) = 6·binomial(n,4) + 5·binomial(n,2) - 4·n + 5. A66455

Numbers of the form prime(w)*prime(x)*prime(y) with w >= x >= y such that 2w = 3x + 4y. A358102

Expansion of e.g.f. ∑_k>=1 (sec(x^k) - 1) (even powers only). A330528

Upper bound on number of regular triangulations of cyclic polytope C(n, n-4). A66456

Multiplicity of highest weight (or singular) vectors associated with character chi₈₁ of Monster module. A34469

A(n, k) is the k-th number b > 1 such that b^prime(n+i-1) == 1 (mod prime(n+i)²) for each i = 0..1, with k running over the positive integers; square array, read by antidiagonals, downwards. A319059

Smallest square containing n-th prime as substring. A29945