Properties of the Number -417

Four Hundred Seventeen

Basics

Value: -418 → -417 → -416

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 139

Divisors: 1, 3, 139, 417

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -110100001

Octal: -641

Duodecimal: -2A9

Hexadecimal: -1a1

Square: 173889

Square Root: 20.42057785666214

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

G.f.: Im((i·x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1). A292043

Expansion of ∑_k>0 x^3·k/(1+x^k)³. A363615

Coefficient array for certain polynomials N(3; k,x) (rising powers of x). A62746

Reflected (see A074058) pentanacci numbers A074048. A74062

Expansion of ∏_k>=1 1/(1 - μ(k)*x^k), where μ() is the Möbius function (A008683). A306327

Expansion of ∏_{i>0, j>0, k>0} (1 - x^{i² + j² + k²}). A321432

a(n)=5a(n-1)-11a(n-2)+13a(n-3)-9a(n-4)+3a(n-5)-a(n-6). A140342

Inverse binomial transform of the number of overpartitions (A015128). A294499

a(n) = ∑_k=1..n (-1)^n-k * k * μ(k)², where μ(k) is the Moebius function. A362029

a(n) = (a(n-1)a(n-5) + a(n-2)a(n-4) + a(n-3)²)/a(n-6). A58232