Properties of the Number -3610

Six Hundred Ten

Basics

Value: -3611 → -3610 → -3609

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 5 × 19 ²

Divisors: 1, 2, 5, 10, 19, 38, 95, 190, 361, 722

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -111000011010

Octal: -7032

Duodecimal: -210A

Hexadecimal: -e1a

Square: 13032100

Square Root: 60.08327554319921

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

a(n) = ∑_{k=0..floor(n/5)} (-1)^k * binomial(n+4,5·k+4) * Catalan(k). A360051

Expansion of 1 / (χ(x) * χ(x⁷)) in powers of·where χ() is a Ramanujan θ function. A246762

Pentagonal pyramidal numbers: a(n) = n²*(n+1)/2. A2411

Numbers k such that k! - 1 is prime. A2982

Triangle T(n,k), 0 <= k <= n, read by rows, defined by: T(0,0)=1, T(n,k)=0 if n < k, T(n,k) = T(n-1,k-1) + T(n-1,k) + T(n-1,k+1). A64189

Motzkin triangle, T, read by rows; T(0,0) = T(1,0) = T(1,1) = 1; for n >= 2, T(n,0) = 1, T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k = 1,2,...,n-1 and T(n,n) = T(n-1,n-2) + T(n-1,n-1). A26300

Generalized ballot numbers (first differences of Motzkin numbers). A2026

a(n) = 10·n². A33583

Generalized 23-gonal (or icositrigonal) numbers: m*(21·m - 19)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303303

a(n) = 2·n² + 6·n + 2. A90288