Properties of the Number 31271

Thirty-One Thousand Two Hundred Seventy-One

Basics

Value: 31270 → 31271 → 31272

Parity: odd

Prime: Yes

Previous Prime: 31267

Next Prime: 31277

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 31271

Divisors: 1, 31271

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101000100111

Octal: 75047

Duodecimal: 1611B

Hexadecimal: 7a27

Square: 977875441

Square Root: 176.8360822909171

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

Absolute discriminants of complex quadratic fields with 3-class group of type (3,3) and Hilbert 3-class field tower of exact length 3, except for the cases mentioned in the COMMENTS. A242878

T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1. A289651

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1), where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A294541

Primes p such that p³ - 12 and p³ + 12 are also primes. A153322

Quadruple Hex-primes: let f(n) = A102489(n); then sequence lists primes p such that f(p), f(f(p)). f(f(f(p))) and f(f(f(f(p)))) are also primes. A237440

Triangle T(n,k) = A008292(n+1,k+1) + A176487(n,k) - 1, 0<=k<=n. A176488

Prime sequence overlaying the central digits of prime numbers. If possible, the value is greater than the previous one. Zero if no such embedding is possible. A133781

Smallest primes p = p(k) with (p(k)+p(k+1)+p(k+2))/15 an integer. A168556

Prime numbers p such that p³ is an interprime = average of two successive primes. A248799

Number of n X 3 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 two less than the number of 0's adjacent to some 1. A289646