Properties of the Number 29430

Twenty-Nine Thousand Four Hundred Thirty

Basics

Value: 29429 → 29430 → 29431

Parity: even

Prime: No

Previous Prime: 29429

Next Prime: 29437

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 5 × 109

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111001011110110

Octal: 71366

Duodecimal: 15046

Hexadecimal: 72f6

Square: 866124900

Square Root: 171.55174146594956

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 subclass of quasi-acyclic automata with 2 inputs, n transient and k absorbing labeled states; square array T(n,k) read by descending antidiagonals (n >= 0 and k >= 1). A82171

a(n) = ∑_i=0..n digsum₅(i)⁴, where digsum₅(i) = A053824(i). A231671

Greatest number m such that the fractional part of (10/9)^A153693(n) <= 1/m. A153697

Expansion of ∏_m>=1 (1+x^m)¹⁸. A22583

Number of compositions (ordered partitions) of n into centered pentagonal numbers (A005891). A322801

Unreduced numerators of the elements T(n,k)/(n-k)!, read by rows, of the triangular matrix P^-1, which is the inverse of the matrix defined by P(n,k) = (1-(k+1)²)^n-k/(n-k)! for n >= k >= 1. A103242

Numbers k such that 135·2^k-1 is prime. A50593

Number of (n+1)X2 0..3 arrays with permanents of 2X2 subblocks differing from horizontal and vertical neighbor permanents. A205033

Expansion of 1/((1-x⁶)(1-x⁹)(1-x¹¹)(1-x¹²)). A29430