Properties of the Number 15873

Fifteen Thousand Eight Hundred Seventy-Three

Basics

Value: 15872 → 15873 → 15874

Parity: odd

Prime: No

Previous Prime: 15859

Next Prime: 15877

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 13 × 37

Divisors: 1, 3, 11, 13, 33, 37, 39, 111, 143, 407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111000000001

Octal: 37001

Duodecimal: 9229

Hexadecimal: 3e01

Square: 251952129

Square Root: 125.98809467564783

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 2's in all partitions of n. A24786

Integers that are Rhonda numbers to base 15. A100974

5-wave sequence. A38201

Divisors of 111111. A109492

Centered 32-gonal numbers. A195315

Let M denote the 5 X 5 matrix with rows /1,1,1,1,1/1,1,1,1,0/1,1,1,0,0/1,1,0,0,0/1,0,0,0,0/ and A(n) = vector (x(n),y(n),z(n),t(n),u(n)) = Mⁿ*A where A is the vector (1,1,1,1,1); then a(n) = t(n). A69006

a(n) = n*(n² - 4·n + 5)/2. A162607

Absolute value of coefficient of term [x^n-4] in characteristic polynomial of maximum matrix A of size n X n, where n >= 4. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n. A112460

Numbers of the form m = p1·p2·p3·p4 where for each d∣m we have (d+m/d)/2 prime and p1 < p2 < p3 < p4 each prime. A128285

a(n) = 512·n + 1. A76338