Properties of the Number 21837

Twenty-One Thousand Eight Hundred Thirty-Seven

Basics

Value: 21836 → 21837 → 21838

Parity: odd

Prime: No

Previous Prime: 21821

Next Prime: 21839

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 29 × 251

Divisors: 1, 3, 29, 87, 251, 753, 7279, 21837

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010101001101

Octal: 52515

Duodecimal: 10779

Hexadecimal: 554d

Square: 476854569

Square Root: 147.7734752924218

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

Expansion of 1/((1-x)*(1-2·x)*(1-x²)). A11377

Partial sums of floor(2ⁿ/3). A178420

a(n) = 4a(n-1) + 3n with a(0) = 0. A78904

Number of sequences over {0,1,...,n-1} containing no two consecutive blocks with the same average. A380000

a(n) = 3·a(n-1) - 3·a(n-2) + 2·a(n-3), with a(0) = 2, a(1) = -3, a(2) = 3. A135353

Numerator of sum(i=1..n, 3·i/4ⁱ ). A215712

Expansion of ∏_k>=1 (1 + (1 + x + x²) * x^k). A309173

Number of balanced, adequate or average primes < 10ⁿ. A55206

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, -1), (1, -1, 0), (1, 1, -1), (1, 1, 1)}. A149625

Nonprime numbers k of the form 4·m+1 such that ∑_j=0..k-1 2^j * binomial(3·j, j) == 1 (mod k). A373747