Properties of the Number 15726

Fifteen Thousand Seven Hundred Twenty-Six

Basics

Value: 15725 → 15726 → 15727

Parity: even

Prime: No

Previous Prime: 15683

Next Prime: 15727

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 2621

Divisors: 1, 2, 3, 6, 2621, 5242, 7863, 15726

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11110101101110

Octal: 36556

Duodecimal: 9126

Hexadecimal: 3d6e

Square: 247307076

Square Root: 125.40334923757021

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

Expansion of η(q⁶) * η(q¹⁰) / (η(q) * η(q¹⁵)) in powers of q. A94023

Increasing length runs of consecutive composite numbers (endpoints). A8995

Expansion of q * (χ(-q³) * χ(-q⁵)) / (χ(-q) * χ(-q¹⁵))² in powers of q where χ() is a Ramanujan θ function. A123630

Expansion of f(-q⁶) * f(-q¹⁰) / (f(q) * f(q¹⁵)) in powers of q where f() is a Ramanujan θ function. A145728

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j)=(L(i) if i=j and 1 otherwise) (A204129). A204130

Decimal part of n-th root of a(n) starts with digit 2. A34079

Number of connected antisymmetric relations on n unlabeled nodes. A101460

Where record values occur in A276781, when starting from A276781(2)=1. A276782

a(n) is the smallest integer k > n such that (k+1)(k+2)...(2k-2n+1)/(k(k-1)...(k-n+1)) is an integer. A290791

Positive integers that have exactly nine representations of the form 1 + p1 * (1 + p2* ... * (1 + p_j)...), where [p1, ..., p_j] is a (possibly empty) list of distinct primes. A317399