Properties of the Number 71865

Seventy-One Thousand Eight Hundred Sixty-Five

Basics

Value: 71864 → 71865 → 71866

Parity: odd

Prime: No

Previous Prime: 71861

Next Prime: 71867

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 1597

Divisors: 1, 3, 5, 9, 15, 45, 1597, 4791, 7985, 14373

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001100010111001

Octal: 214271

Duodecimal: 35709

Hexadecimal: 118b9

Square: 5164578225

Square Root: 268.07648162418127

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

T(n,k)=Number of nXk array permutations with each element moved but moved no more than a city block distance of two. A188981

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) < number of parts of p. A241828

Total number of partitions of [n-s] whose block maxima sum to s, summed over all s. A368102

Number of nX2 array permutations with each element moved but moved no more than a city block distance of two. A188976

a(n) is the number of regions into which three-dimensional Euclidean space is divided by n-1 planes parallel to each face of a regular tetrahedron with edge length n, dividing the edges into unit segments. A364401

Number of n X 6 array permutations with each element moved but moved no more than a city block distance of two. A188980

Smallest k such that the simple continued fraction for Sum(d∣k, 1/d) contains exactly n elements. A71865