Properties of the Number 61536

Sixty-One Thousand Five Hundred Thirty-Six

Basics

Value: 61535 → 61536 → 61537

Parity: even

Prime: No

Previous Prime: 61519

Next Prime: 61543

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 641

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111000001100000

Octal: 170140

Duodecimal: 2B740

Hexadecimal: f060

Square: 3786679296

Square Root: 248.06450773941845

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

E.g.f.: Series_Reversion( x·cos(x) - x·sin(x) ). A215368

Expansion of (1-x)/(1-x-3x³). A52900

Number of n X 5 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. A302078

Number of 7Xn 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. A302086

T(n,k) = Number of n X k 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. A302081

E.g.f. satisfies: A(x) = 1/(cos(x·A(x)) - sin(x·A(x))). A201923

a(1) = 1 and a(n) = a(n-1) + (the number of primes <= n) for n > 1. A61536