Properties of the Number 29705

Twenty-Nine Thousand Seven Hundred Five

Basics

Value: 29704 → 29705 → 29706

Parity: odd

Prime: No

Previous Prime: 29683

Next Prime: 29717

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 13 × 457

Divisors: 1, 5, 13, 65, 457, 2285, 5941, 29705

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111010000001001

Octal: 72011

Duodecimal: 15235

Hexadecimal: 7409

Square: 882387025

Square Root: 172.35138525698017

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

Numbers of the form p·q*r where p, q, r are distinct primes congruent to 1 mod 4 such that Legendre(p/q) = Legendre(p/r) = Legendre(q/r) = -1. A323271

E.g.f.: x = ∑_n>=1 a(n)*xⁿ/n! * exp(-n²*x). A195736

Number of partitions p of n such that max(p) == 1 mod 3. A373014

Squarefree n such that Q(sqrt(n)) has class number 5. A29705

Array read by antidiagonals: T(n,k) is the number of chiral pairs of color patterns (set partitions) in a cycle of length n using k or fewer colors (subsets). A320742