Properties of the Number 36927

Thirty-Six Thousand Nine Hundred Twenty-Seven

Basics

Value: 36926 → 36927 → 36928

Parity: odd

Prime: No

Previous Prime: 36923

Next Prime: 36929

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 373

Divisors: 1, 3, 9, 11, 33, 99, 373, 1119, 3357, 4103

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000000111111

Octal: 110077

Duodecimal: 19453

Hexadecimal: 903f

Square: 1363603329

Square Root: 192.16399246476954

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 sequences of integer partitions with total sum n that are rectangular, meaning all lengths are equal. A358905

Numbers k such that the decimal digits of k*(k+1) are a permutation of those of k*(k-1). A181775

Decimal part of cube root of a(n) starts with 3: first term of runs. A34129

The number of reachable states in a simple two-player counting game, in which each player starts with the pair (1,1) and one move is to add one of the opponent's numbers to one of your own numbers, but no number can grow above a pre-defined maximum n. The game continues until one of the players has no legal moves left. The winner is the one having the higher sum of his numbers. A161531

Number of (n+1) X (4+1) 0..1 arrays with every 2 X 2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A258550

a(n) = 2·a(n-1) + 2·a(n-3) + a(n-4) - 1, with a(0) = 0 = a(1), a(2) = 2, and a(3) = 3. A353582

a(n) = smallest number m > 0 such that n followed by m 1's yields a prime, or -1 if no such m exists. A69568

Digit sum of 'odd' number equals digit sum of 'sum' and 'juxtaposition' of its prime factors (counted with multiplicity). A36927