Properties of the Number 39971

Thirty-Nine Thousand Nine Hundred Seventy-One

Basics

Value: 39970 → 39971 → 39972

Parity: odd

Prime: Yes

Previous Prime: 39953

Next Prime: 39979

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 39971

Divisors: 1, 39971

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001110000100011

Octal: 116043

Duodecimal: 1B16B

Hexadecimal: 9c23

Square: 1597680841

Square Root: 199.92748685460936

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 with P(p-1) also prime, where P(.) is the partition function (A000041). A234569

Primes p such that p's set of distinct digits is {1,3,7,9}. A108386

Numbers that are the sum of seven fourth powers in eight or more ways. A345574

Numbers that are the sum of seven fourth powers in exactly eight ways. A345830

Primes p such that exactly four numbers among all circular permutations of the digits of p are prime. A344628

Primes of the form 2·n²+26·n+11. A243888

Primes of the form abs(n⁵ - 99n⁴ + 3588n³ - 56822n² + 348272n - 286397) in order of increasing nonnegative n. A272444

E.g.f.: exp(x)/sqrt(1-4·x). A52143

a(n) = floor(binomial(n,8)/8). A11854

Sixth prime p such that (p+n)²+n is prime but (p+j)²+j is not prime for all 0<j<n. A238678