Properties of the Number -5106

One Hundred Six

Basics

Value: -5107 → -5106 → -5105

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 23 × 37

Divisors: 1, 2, 3, 6, 23, 37, 46, 69, 74, 111

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1001111110010

Octal: -11762

Duodecimal: -2B56

Hexadecimal: -13f2

Square: 26071236

Square Root: 71.45628033979938

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 ψ(q) * ψ(q²) * ψ(q⁶) / ψ(q³)³ in powers of q where ψ() is a Ramanujan θ function. A213265

Expansion of c(q⁴) / c(q) in powers of q where c() is a cubic AGM θ function. A123649

Expansion of q * (ψ(q) / ψ(q²)) / (ψ(q³) / ψ(q⁶))³ in powers of q where ψ() is a Ramanujan θ function. A187153

Number of partitions of n into a prime number of parts. A38499

Number of integer partitions of n with the same length as alternating sum. A357189

Number of primes < prime(n)². A879

Number of integer partitions of 2n - 1 with the same length as alternating sum. A357488

Triangle read by rows: T(n,k) is the number of n-bead necklaces with exactly k different colored beads. A87854

Numbers k such that 6·R_k + 1 is a prime, where R_k = 11...1 is the repunit (A002275) of length k. A96507

Number of partitions of n containing a clique of size 3. A183560