Properties of the Number 28972

Twenty-Eight Thousand Nine Hundred Seventy-Two

Basics

Value: 28971 → 28972 → 28973

Parity: even

Prime: No

Previous Prime: 28961

Next Prime: 28979

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 7243

Divisors: 1, 2, 4, 7243, 14486, 28972

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000100101100

Octal: 70454

Duodecimal: 14924

Hexadecimal: 712c

Square: 839376784

Square Root: 170.2116329749527

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

G.f.: ∏_k>0 (1 - x^k)⁴ * (1 - (-x)^k)⁸. A225543

McKay-Thompson series of class 34a for the Monster group. A58639

Convolution of A007528 and A002476. A354543

Absolute value of Glaisher's α(n). A2290

a(1) = 1; a(2) = 1; for n >= 3, a(n) = a(n-1) / gcd(a(n-1), n-1) + a(n-2) / gcd(a(n-2), n-2). A330806

a(n) is the smallest number that cannot be obtained from the numbers {1,3,...,2·n-1} using each number at most once and the operators +, -, *, /, where intermediate subexpressions must be integers. A71313

Sum of the even parts in the partitions of n into 6 parts. A309552

Numbers k such that 4^k - 3^k is prime. A59801

Honaker primes of the form p = 2·k-1 with sum-of-digits(p) = sum-of-digits(k). A176111

Number of 4 X n binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally. A188609