Properties of the Number 8971

Eight Thousand Nine Hundred Seventy-One

Basics

Value: 8970 → 8971 → 8972

Parity: odd

Prime: Yes

Previous Prime: 8969

Next Prime: 8999

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 8971

Divisors: 1, 8971

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100001011

Octal: 21413

Duodecimal: 5237

Hexadecimal: 230b

Square: 80478841

Square Root: 94.71536306217698

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 (1/(1-x²))*∏_m>=0 1/(1-x^2m+1). A38348

Toothpick primes: primes in the toothpick sequence A139250. A139253

a(n) is the least prime such that the multiplicative order of 5 mod a(n) equals n. A143665

Numbers that have 9 terms in their Zeckendorf representation. A179249

Numbers n such that A003313(n) = A003313(2n). A86878

a(n) is the number of integer lattice points inside the right triangle with legs 3n and 4n (and hypotenuse 5n). A126587

Primes of the form 2·n² + 90·n + 43. A217621

Minimal order of degree-n irreducible polynomials over GF(5). A218357

Primes p such that A001177(p) = (p-1)/3. A308796

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318016