Properties of the Number 1536

One Thousand Five Hundred Thirty-Six

Basics

Value: 1535 → 1536 → 1537

Parity: even

Prime: No

Previous Prime: 1531

Next Prime: 1543

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁹ × 3

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000000000

Octal: 3000

Duodecimal: A80

Hexadecimal: 600

Square: 2359296

Square Root: 39.191835884530846

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Least integer of each prime signature A124832; also products of primorial numbers A002110. A25487

3-smooth numbers: numbers of the form 2ⁱ*3^j with i, j >= 0. A3586

Self-inverse permutation of the positive integers induced by partition enumeration in A112798 and partition conjugation. A122111

a(n) = 3·2ⁿ. A7283

Expansion of g.f. (1+x)/(1-2·x). A3945

a(n) = smallest integer with factorization as Product p(i)^e(i) such that Product p(e(i)) = n. A181821

Jordan function J₂(n) (a generalization of φ(n)). A7434

Numbers of the form 2ⁿ or 3·2ⁿ. A29744

The number of compositions of n which cannot be viewed as stacks. A115981

Numbers k of the form 2ⁱ*3^j, where i and j >= 1. A33845