Properties of the Number 29745

Twenty-Nine Thousand Seven Hundred Forty-Five

Basics

Value: 29744 → 29745 → 29746

Parity: odd

Prime: No

Previous Prime: 29741

Next Prime: 29753

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 661

Divisors: 1, 3, 5, 9, 15, 45, 661, 1983, 3305, 5949

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010000110001

Octal: 72061

Duodecimal: 15269

Hexadecimal: 7431

Square: 884765025

Square Root: 172.46738822165773

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

Numbers that begin a run of an odd number of consecutive integers whose cubes sum to a square. A253679

a(n) = ∑_k=0..n 4^n-k * binomial(n,k) * binomial(n+2,k). A388412

a(n) = 44·n² + 1. A158630

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + n, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A294365

Indices n of primes p(n), p(n+2) such that p(n)+1 and p(n+2)+1 have the same largest prime factor. A105404

M-sequences from multicomplexes on 4 variables with all monomials of degree 8 but none of degree larger than n. A11816

Powers of fifth root of 5 rounded to nearest integer. A18127

Powers of fifth root of 5 rounded up. A18128

a(n) = 1+2*(d1 + 1)*(d2 + 1)*...*(dk + 1), where d1, d2, ..., dk are the prime factors of the n-th Fermat pseudoprime to base 2 A001567(n). A216646

Number of subsets of {1,2,...,n} such that no two elements differ by 1, 2, 4, or 5. A375186