Properties of the Number 29439

Twenty-Nine Thousand Four Hundred Thirty-Nine

Basics

Value: 29438 → 29439 → 29440

Parity: odd

Prime: No

Previous Prime: 29437

Next Prime: 29443

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 3271

Divisors: 1, 3, 9, 3271, 9813, 29439

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001011111111

Octal: 71377

Duodecimal: 15053

Hexadecimal: 72ff

Square: 866654721

Square Root: 171.57797061394567

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

Triangle T(n,k) (0<= k <=n) read by rows. Left edge is 1, 0, 0, ... Otherwise each entry is sum of entry to left, entries immediately above it to left and right and entry directly above it 2 rows back. A59283

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300108

a(n) is the number of binary strings of length n whose shortest run of 1s is of length 1. A384153

Expansion of x*(1 - 4·x)^3/2/(3·x - 1)². A320826

Right edge of triangle in A059283. A59284

Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300104

Number of nX6 0..1 arrays with every element equal to 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300106

Expansion of 1/((1-x⁷)(1-x⁹)(1-x¹⁰)(1-x¹²)). A29439