Properties of the Number 32772

Thirty-Two Thousand Seven Hundred Seventy-Two

Basics

Value: 32771 → 32772 → 32773

Parity: even

Prime: No

Previous Prime: 32771

Next Prime: 32779

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 2731

Divisors: 1, 2, 3, 4, 6, 12, 2731, 5462, 8193, 10924

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000000000100

Octal: 100004

Duodecimal: 16B70

Hexadecimal: 8004

Square: 1074003984

Square Root: 181.030384190058

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

1/4 the number of (n+1) X 5 0..2 arrays with every 2 X 2 subblock having distinct clockwise edge differences. A209723

a(n) = 2ⁿ + 4. A140504

Starts of runs of 3 consecutive base φ Niven numbers (A334308). A334310

Numbers n such that m + (sum of digits in base-4 representation of m) = n has exactly three solutions. A230635

Numbers of the form m = 2ⁱ + 2^j, where i > j >= 0, such that m - 1 is prime. A239708

Numbers k such that 1/(1/φ(k) + 1/φ(k+1) + 1/φ(k+2) + 1/φ(k+3)) is an integer. A73544

McKay-Thompson series of class 6B for the Monster group with a(0) = 12. A121665

Products of the Jacobsthal numbers and the integers: a(n) = n·A001045(n+1). A193449

a(n) is taken to be the smallest positive integer greater than a(n-1) which is consistent with the condition "n is a member of the sequence if and only if a(n) is a power of 2". A79256

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 398", based on the 5-celled von Neumann neighborhood. A288014