Properties of the Number 29917

Twenty-Nine Thousand Nine Hundred Seventeen

Basics

Value: 29916 → 29917 → 29918

Parity: odd

Prime: Yes

Previous Prime: 29881

Next Prime: 29921

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 29917

Divisors: 1, 29917

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010011011101

Octal: 72335

Duodecimal: 15391

Hexadecimal: 74dd

Square: 895026889

Square Root: 172.96531444194238

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

Primes p that divide Fibonacci[(p+1)/7]. A125252

Primes having square prime gaps to both neighbor primes. A353088

Primes p such that the polynomial x⁵-x⁴-x³-x²-x-1 mod p has 5 distinct zeros. A106281

Prime numbers p not of the form 10k+1 for which the quintonacci quintic polynomial x⁵ - x⁴ - x³ - x² - x - 1 modulus p is factorizable into five binomials. A135847

Primes which are the sum of three distinct positive cubes in two or more distinct ways. A180088

T(n,k)=Number of nXk 1..6 arrays with no element with value z exactly a city block distance of z from another element with value z. A209182

Prime numbers p for which quintonacci quintic polynomial x⁵-x⁴-x³-x²-x-1 modulus p is completely factorizable. A135846

Primes of the form x³ + y³ + 1, where·and y are primes. A214175

Primes of a056240-type 3. A300359

Primes p such that A001175(p) = 2*(p+1)/7. A308785