Properties of the Number -6459

Four Hundred Fifty-Nine

Basics

Value: -6460 → -6459 → -6458

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 2153

Divisors: 1, 3, 2153, 6459

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1100100111011

Octal: -14473

Duodecimal: -38A3

Hexadecimal: -193b

Square: 41718681

Square Root: 80.36790404135223

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 ∏_k>=1 (1 - x^2·k-1)^2·k-1. A285069

Starting at n, a(n) is the difference of the number of times we revisit spots coming from positive spots and the number of times we revisit spots coming from negative spots according to the following rules. On the k-th step (k=1,2,3,...) move a distance of k in the direction of zero. If the number landed on has been landed on before, move a distance of k away. A324685

Numbers k such that prime(k) == 1 (mod k). A23143

Number of integer partitions of n such that every permutation has all distinct runs. A351204

Expansion of ∏_k>=1 (1 + x^2·k-1)^2·k-1. A262736

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 0 1 vertically. A207762

Values of transition of A072608(n) from alternating behavior (0,1,0,1,..) into steadily-1 (1,1,1,..) behavior or changing back. Expressing in terms of A072609(n): at n values it switches from steadily 0 into steadily 1 successive values or back. A72610

a(n) = n³ - (n+1)². A153257

Expansion of e.g.f. ∏_k>=1 exp(1 - exp(x^k)). A330199

∑_k=1..n {number of partitions of n into powers k^m where 0<=m<n}. A102434