Properties of the Number 71379

Seventy-One Thousand Three Hundred Seventy-Nine

Basics

Value: 71378 → 71379 → 71380

Parity: odd

Prime: No

Previous Prime: 71363

Next Prime: 71387

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 11 × 103

Divisors: 1, 3, 7, 9, 11, 21, 33, 63, 77, 99

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001011011010011

Octal: 213323

Duodecimal: 35383

Hexadecimal: 116d3

Square: 5094961641

Square Root: 267.1684861655656

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

Least number having n orderless representations as p² + q² + r², where p, q, and r are primes. A214512

Number of nX3 0..1 arrays with every element unequal to 0, 2, 3 or 5 king-move adjacent elements, with upper left element zero. A304005

Numbers k such that k and k+1 both have the prime signature (2,1,1,1) (A189982). A336658

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 1, -1), (1, -1, -1), (1, 0, 1)}. A148829

a(n) = (1/e) * ∑_k>=0 ((k+4)!/k!)^n-1/k!. A71379

a(n) = smallest m such that σ(m) = (n+1/2)*m. A88912