Properties of the Number 32672

Thirty-Two Thousand Six Hundred Seventy-Two

Basics

Value: 32671 → 32672 → 32673

Parity: even

Prime: No

Previous Prime: 32653

Next Prime: 32687

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁵ × 1021

Divisors: 1, 2, 4, 8, 16, 32, 1021, 2042, 4084, 8168

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111111110100000

Octal: 77640

Duodecimal: 16AA8

Hexadecimal: 7fa0

Square: 1067459584

Square Root: 180.75397644312005

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

Row 3 of A007754. A58794

Union_{odd primes p, n >= 3} {T_p(n)}, where T_m(x) = x·T_m-1(x) - T_m-2(x), m >= 2, T₀(x) = 2, T₁(x) = x (dilated Chebyshev polynomials of the first kind). A299071

Number of subsets of {1..n} that cannot be linearly combined using positive coefficients to obtain n. A365322

a(n) = n³ - 3·n. A121670

G.f. satisfies: 2·A(x) = 1 + x + A(x·A(x)²). A242004

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A384622. A384623

Expansion of ∏_k>=0 ((1+x^3·k+1)/(1-x^3·k+1))². A261649

Number of points on surface of dodecahedron: a(n) = 30·n² + 2 for n > 0. A5903

Number of ordered triples (w,x,y) with all terms in {1,...,n} and w²>2x²+2y². A211633

Decimal representation of the n-th iteration of the "Rule 9" elementary cellular automaton starting with a single ON (black) cell. A266245