Properties of the Number 2109

Two Thousand One Hundred Nine

Basics

Value: 2108 → 2109 → 2110

Parity: odd

Prime: No

Previous Prime: 2099

Next Prime: 2111

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 19 × 37

Divisors: 1, 3, 19, 37, 57, 111, 703, 2109

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000111101

Octal: 4075

Duodecimal: 1279

Hexadecimal: 83d

Square: 4447881

Square Root: 45.92385001282014

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

Square pyramidal numbers: a(n) = 0² + 1² + 2² + ... + n² = n*(n+1)*(2·n+1)/6. A330

Triangular matchstick numbers: a(n) = 3·n*(n+1)/2. A45943

a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n. A6918

Number of partitions of n for which the number of even parts is equal to the positive alternating sum of the parts. A277579

a(n) = ∑_{k=1..n, gcd(n,k) = 1} k². A53818

3 times hexagonal numbers: a(n) = 3·n*(2·n-1). A94159

Pinwheel numbers: a(n) = 2·n² + 6·n + 1. A59993

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals: A(n,k) = [x^n²] theta₃(x)^k/(1 - x), where theta₃() is the Jacobi θ function. A302997

Values of n such that L(9) and N(9) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A226929

Numbers k such that φ(k) is a perfect biquadrate. A78164