Properties of the Number -4964

Nine Hundred Sixty-Four

Basics

Value: -4965 → -4964 → -4963

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 17 × 73

Divisors: 1, 2, 4, 17, 34, 68, 73, 146, 292, 1241

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1001101100100

Octal: -11544

Duodecimal: -2A58

Hexadecimal: -1364

Square: 24641296

Square Root: 70.45565981523414

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 ∏_m>=1 ((1+q^2·m-1)/(1+q^2·m))³. A29840

a(n) = ∑_{k=0..floor(n/4)} (-1)^k * (n-3·k)!/(n-4·k)!. A358605

Expansion of ∑_k>0 (1/(1+x^k)⁴ - 1). A363631

Number of binary partitions: number of partitions of 2n into powers of 2. A123

Solution to the Dancing School Problem with 3 girls and n+3 boys: f(3,n). A79908

Number of ways to place 3 nonattacking queens on a 3 X n board. A61989

a(n) = 17·a(n-1) + a(n-2), starting with a(0) = 2 and a(1) = 17. A90306

T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum and no two neighbors equal. A199704

Inverse Moebius transform of the shifted tetrahedral numbers. A116963

4-almost primes with semiprime digits (digits 4, 6, 9 only). A111496