Properties of the Number 29971

Twenty-Nine Thousand Nine Hundred Seventy-One

Basics

Value: 29970 → 29971 → 29972

Parity: odd

Prime: No

Previous Prime: 29959

Next Prime: 29983

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 17 × 41 × 43

Divisors: 1, 17, 41, 43, 697, 731, 1763, 29971

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010100010011

Octal: 72423

Duodecimal: 15417

Hexadecimal: 7513

Square: 898260841

Square Root: 173.12134472675518

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

Number of integer partitions of n whose parts minus 1 are relatively prime. A328170

Numbers that are the sum of seven fourth powers in seven or more ways. A345573

Numbers that are the sum of seven fourth powers in exactly seven ways. A345829

Numbers n such that n through n+5 have the same number of distinct prime factors. A45934

Numbers k such that σ(k+1) = 2*φ(k). A67260

G.f. A(x) satisfies: A(x) = 1/(1 + x·A(x)/(1 + x²*A(x)²/(1 + x³*A(x)³/(1 + x⁴*A(x)⁴/(1 + ...))))), a continued fraction. A301629

a(n) = ∑_i=1..n ∑_j=1..n ∑_k=1..n φ(i·j*k) / φ(k). A372662

Number of length 3 1..(n+1) arrays with every leading partial sum divisible by 2, 3, 5, 7 or 11. A254950

11-gonal numbers which are products of three distinct primes. A354446

Palindromic primes in base 3. A29971