Properties of the Number 29441

Twenty-Nine Thousand Four Hundred Forty-One

Basics

Value: 29440 → 29441 → 29442

Parity: odd

Prime: No

Previous Prime: 29437

Next Prime: 29443

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 59 × 499

Divisors: 1, 59, 499, 29441

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001100000001

Octal: 71401

Duodecimal: 15055

Hexadecimal: 7301

Square: 866772481

Square Root: 171.583798768998

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(n) = ∑_k=0..n (n!/k!)³. A217284

Numerators of continued fraction convergents to sqrt(561). A42074

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = (n!)^k * ∑_j=1..n (1/j!)^k. A343863

Numbers n such that n!3 - 3⁵ is prime. A247465

Number of (2+1) X (n+1) arrays of permutations of 0..n·3+2 with each element having directed index change -2,-2 -1,0 0,1 or 1,0. A264535

Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 2 (mod 5). A35566

a(n) = 81·n² - 2247·n + 15383. A182255

Number of 4-sided regions in the Farey Diagram Farey(n,n), divided by 8. A358303

Expansion of 1/((1-x⁷)(1-x¹⁰)(1-x¹¹)(1-x¹²)). A29441