Properties of the Number 31219

Thirty-One Thousand Two Hundred Nineteen

Basics

Value: 31218 → 31219 → 31220

Parity: odd

Prime: Yes

Previous Prime: 31193

Next Prime: 31223

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 31219

Divisors: 1, 31219

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100111110011

Octal: 74763

Duodecimal: 16097

Hexadecimal: 79f3

Square: 974625961

Square Root: 176.68899230002984

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

a(n) = a(n-1) + a(n-2) + n, a(0) = a(1) = 1. A30119

Primes p such that (p¹²⁸ + 1)/2 is prime. A341230

Records in A134204. A133244

A simple grammar: partial sums of A008965. A52825

Irregular table with first row containing the single term 3; in the n-th row, n>=2, we list in increasing order those d=2ⁿ⁺¹-a, for each term a in all the preceding rows, such that d is prime. A152871

Smallest prime greater than n*(n+1)²/2. A181956

Primes of the form 3n² + 7. A201479

a(n) is the smallest prime p such that there is a multiplicative subgroup H of Z/pZ, of odd order and of index 2n, such that for any two cosets H1 and H2 of H, H1 + H2 contains all of (Z/pZ)\0, except that H+H contains all of (Z/pZ)\0 except -H. If no such prime exists, a(n) = 0. A294615

Euler or up/down numbers: e.g.f. sec(x) + tan(x). Also for n >= 2, half the number of alternating permutations on n letters (A001250). A111

Numbers k such that 2·k² - 1 is a square. A1653