Properties of the Number 576

Five Hundred Seventy-Six

Basics

Value: 575 → 576 → 577

Parity: even

Prime: No

Previous Prime: 571

Next Prime: 577

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ²

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001000000

Octal: 1100

Duodecimal: 400

Hexadecimal: 240

Square: 331776

Square Root: 24

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

The squares: a(n) = n². A290

Perfect powers: m^k where m > 0 and k >= 2. A1597

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

Powerful numbers, definition (1): if a prime p divides n then p² must also divide n (also called squareful, square full, square-full or 2-powerful numbers). A1694

Quarter-squares: a(n) = floor(n/2)*ceiling(n/2). Equivalently, a(n) = floor(n²/4). A2620

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

Numbers all of whose prime divisors are consecutive primes starting at 2. A55932

Smallest number with exactly n divisors. A5179

a(n) = (n+2)*2^n-1. A1792