Properties of the Number 30672

Thirty Thousand Six Hundred Seventy-Two

Basics

Value: 30671 → 30672 → 30673

Parity: even

Prime: No

Previous Prime: 30671

Next Prime: 30677

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ³ × 71

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111011111010000

Octal: 73720

Duodecimal: 15900

Hexadecimal: 77d0

Square: 940771584

Square Root: 175.13423423191708

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

Number of partitions p of n such that (number of numbers in p that have multiplicity 1) = (number of numbers in p having multiplicity > 1). A241274

Number of (w,x,y) with all terms in {0,...,n} and w>floor((x+y)/3). A212974

12 times hexagonal numbers: 12·n*(2·n-1). A143698

a(n) = 60·2ⁿ - 48 (n>=1). A304376

Integers k such that there exists an integer 0<m<k such that (1/σ(m)² + 1/σ(k)²)*(m+k)² = 1. A383964

a(n) = rightmost term of Mⁿ * [1 0 0], with M = the 3 X 3 matrix [1 -1 0 / -1 3 -2 / 0 -2 2]. A94434

Integers of the form A164577(k)/3. A164619

G.f. satisfies: A(x) = (1 + 2·x*A(x))² * (2 + A(x)) / 3. A231554

E.g.f. A(x) satisfies: A'(x) = 1 + A(x)*A'(x)⁴. A376174

Square root of A030671. A30672