Properties of the Number 15382

Fifteen Thousand Three Hundred Eighty-Two

Basics

Value: 15381 → 15382 → 15383

Parity: even

Prime: No

Previous Prime: 15377

Next Prime: 15383

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 7691

Divisors: 1, 2, 7691, 15382

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110000010110

Octal: 36026

Duodecimal: 8A9A

Hexadecimal: 3c16

Square: 236605924

Square Root: 124.02419118865481

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

Number of dependent sets with largest element n. A232466

a(n) = ∑_i=0..n ∑_j=0..n T(i,j), T given by A026758. A26767

Sum of the smallest parts of the partitions of n into 9 parts. A326465

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317376

T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and vertical neighbors in a random 0..1 nXk array. A220287

A089450 indexed by A000040. A89525

Number of partitions of n in which any two parts differ by at most 9. A218511

Monotonic ordering of nonnegative differences 5ⁱ-3^j, for 40>=i>=0, j>=0. A192150

Second elementary symmetric function of the first n terms of (2,2,3,3,4,4,5,5...). A203299

a(n) = 3ⁿ - n⁶. A24029