Properties of the Number -3005

Five

Basics

Value: -3006 → -3005 → -3004

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 5 × 601

Divisors: 1, 5, 601, 3005

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -101110111101

Octal: -5675

Duodecimal: -18A5

Hexadecimal: -bbd

Square: 9030025

Square Root: 54.817880294662984

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) = n! - n⁵. A196412

Expansion of (9*φ(q)*φ(q³)⁵ - φ(q)⁵*φ(q³))/8 in powers of q where φ(q) is a Ramanujan θ function. A113261

Triangle read by rows: row n gives (coefficients·n!) in expansion of pieces k=0..n-1 of the cumulative distribution function for the Irwin-Hall distribution, lowest powers first. A188668

Values of n such that L(6) and N(6) 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. A226926

arcsinh(cos(x)*sin(x))=x-5/3!*x³+65/5!*x⁵-3005/7!*x⁷+278465/9!*x⁹... A12476

Number of integer partitions of n containing three parts (a,b,c) (repeats allowed) such that a + b = c. A variation of sum-full partitions. A363225

Number of integer partitions of n containing their multiset of multiplicities (as a submultiset). A325702

a(n) = 2·n² + 3·n + 3. A33816

a(n) = nⁿ - n!. A36679

Number of ways to split a strict composition of n into contiguous subsequences with different sums. A336128