Properties of the Number 36124

Thirty-Six Thousand One Hundred Twenty-Four

Basics

Value: 36123 → 36124 → 36125

Parity: even

Prime: No

Previous Prime: 36109

Next Prime: 36131

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 11 × 821

Divisors: 1, 2, 4, 11, 22, 44, 821, 1642, 3284, 9031

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110100011100

Octal: 106434

Duodecimal: 18AA4

Hexadecimal: 8d1c

Square: 1304943376

Square Root: 190.06314740106774

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.: exp(∑_k>=1 B(x^k)/k), where B(x) = x + 2·x² + 5·x³ + 14·x⁴ + 42·x⁵ + ... = (C(x)-1)/x and C is the g.f. for the Catalan numbers A000108. A88327

Triangle read by rows: number of commutative monoids of order n with k idempotents. A58142

The number of regions inside a 2 by 1 ellipse formed by the straight line segments mutually connecting all points formed by dividing the ellipse into 2n equal angle sectors from its origin. A341688

The smallest of 3 consecutive integers such that the first is divisible by the square of a prime, the second is divisible by the cube of a prime, and the third is divisible by the fourth power of a prime. A349952

a(n) = 2ⁿ mod 37. A36124

Expansion of g.f. A(x) satisfying 0 = ∑_k=0..n (-1)^k * binomial(3·n-2·k, k) * ([x^k] A(x)ⁿ) for n >= 1. A375441