Properties of the Number -625

Six Hundred Twenty-Five

Basics

Value: -626 → -625 → -624

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 ⁴

Divisors: 1, 5, 25, 125, 625

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1001110001

Octal: -1161

Duodecimal: -441

Hexadecimal: -271

Square: 390625

Square Root: 25

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Alternating partial sums of A000217. A83392

G.f. satisfies: A(x) = 1/(1 + x·A(x³)) and also the continued fraction: 1+x·A(x⁴) = [1;1/x,1/x³,1/x⁹,1/x²⁷,...,1/x^{3^(n-1}),...]. A101913

Triangular table containing values of coefficients of the characteristic polynomial of a certain n·n circulant matrix, read by rows. A127412

Dirichlet g.f.: 1 / ζ(s-4). A334660

G.f.: η(x)³*(1 - x*η'(x)/η(x)), where η(x) is Dedekind's η(q) function without the q^1/24 factor. A184366

Triangle read by rows: T(n,k) is the k-th generalized Eulerian number of order n and degree 4, n >= 1. A211234

Dirichlet inverse of the Doudna sequence, A005940. A324640

Expansion of (1 + sqrt(1 + 4x))/(2(1 + x)). A99324

Triangle T(n,k) read by rows: T(n,n) = -1, T(n,0) = 5^{n - 1}, T(n,k) = -5^{n - k - 1}, 1 <= k <= n - 1. A152572

Perfect powers (m^k where m is an integer and k >= 2) multiplied by -1 when m is prime for largest k (m^k thus a prime power). A157985