Properties of the Number 29408

Twenty-Nine Thousand Four Hundred Eight

Basics

Value: 29407 → 29408 → 29409

Parity: even

Prime: No

Previous Prime: 29401

Next Prime: 29411

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 919

Divisors: 1, 2, 4, 8, 16, 32, 919, 1838, 3676, 7352

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111001011100000

Octal: 71340

Duodecimal: 15028

Hexadecimal: 72e0

Square: 864830464

Square Root: 171.48760888180814

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

Expansion of q * (ψ(q⁴) / φ(-q))² in powers of q where φ(), ψ() are Ramanujan θ functions. A107035

Sum of all the parts in the partitions of n into 8 parts. A308989

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A299654

Expansion of x * (ψ(x⁴) / φ(x))² in powers of·where φ(), ψ() are Ramanujan θ functions. A260145

E.g.f. satisfies A(x) = (1 - log(1 - x) * A(x))². A377692

Number of n X 2 0..2 arrays with every element equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0) both plus 1 mod 3 and minus 1 mod 3, with new values introduced in order 0..2. A277761

Number of nX6 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281137

Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A299650

Number of n X n 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281132

Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A299648