Properties of the Number 29538

Twenty-Nine Thousand Five Hundred Thirty-Eight

Basics

Value: 29537 → 29538 → 29539

Parity: even

Prime: No

Previous Prime: 29537

Next Prime: 29567

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 547

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 547, 1094

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001101100010

Octal: 71542

Duodecimal: 15116

Hexadecimal: 7362

Square: 872493444

Square Root: 171.86622704883004

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

Regular triangle read rows: T(n,k) = number of non-isomorphic multiset partitions of size n and length k. A317533

First numbers E = a(n) of two non-consecutive numbers (E, F) different from (C, D) = (A352222(n), A352223(n)), such that the sums of their cubes are equal to centered cube numbers and to at least one other sum of two cubes, i.e. A = B³ + (B+1)³ = C³ + D³ = E³ + F³. A352224

a(n) = 3*(2·n - 1)*( 3*(2·n - 1)³ + 1) / 2. A355752

Numbers k such that k and 5·k, taken together, are pandigital. A115925

a(n) = ∑_k=1..n-1 σ(k) * sigma₂(n-k). A374974

a(n) = n³*(n⁷ + 1)/2. A168188

Numbers of the form (3^j + 9^k)/2, for j and k >= 0. A226793

The sequence denoted by r_n used in the calculation of A323260. A323268

a(0) = a(1) = 1; a(n) = [xⁿ] ∏_k=1..n-1 1/(1 - a(k)*x^a(k)). A300411

Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 21 (most significant digit on right and removing all least significant zeros before concatenation). A29538