Properties of the Number 15292

Fifteen Thousand Two Hundred Ninety-Two

Basics

Value: 15291 → 15292 → 15293

Parity: even

Prime: No

Previous Prime: 15289

Next Prime: 15299

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 3823

Divisors: 1, 2, 4, 3823, 7646, 15292

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101110111100

Octal: 35674

Duodecimal: 8A24

Hexadecimal: 3bbc

Square: 233845264

Square Root: 123.66082645688569

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 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300937

Number of polygons with polygonal holes on the square lattice enumerated by half-perimeter. A88702

a(2n) and a(2n+1) are side lengths of a Beentjes sequence of perfect squared rectangles, starting with a 32 X 33 rectangle. A67010

Constant term of the reduction by x²->x+1 of the polynomial p(n,x) defined at Comments. A193006

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 86 ones. A31854

Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300933

Number of nX7 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300936

Number of partitions of n with equal number of parts congruent to each of 3 and 4 (mod 5). A35561

A symmetrical triangle:q=4;c(n,q)=Product[1 - qⁱ, {i, 1, n}];t(n,m,q)=A060187(n,m)-c(n,q)/(c(m,q)*c(n-m,q))+1. A176469

Gaussian binomial coefficient [ n,4 ] for q = -6. A15292