Properties of the Number -164

One Hundred Sixty-Four

Basics

Value: -165 → -164 → -163

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 41

Divisors: 1, 2, 4, 41, 82, 164

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10100100

Octal: -244

Duodecimal: -118

Hexadecimal: -a4

Square: 26896

Square Root: 12.806248474865697

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

Coefficients of (q*(j(q)-1728))^1/6 where j(q) is the elliptic modular invariant. A289332

Determinant of the n X n matrix with (i,j)-entry equal to 1 or 0 according as 2*(i + j) - 1 is prime or not. A228616

Expansion of (1-x-x^N)/((1-x)(1-x²)(1-x³)...(1-x^N)) for N = 4. A60023

Constant term in (1+x)ⁿ mod (1+x⁴). A99586

Expansion of q^1/6 * η(q) / η(q⁵) in powers of q. A145466

Expansion of x³ / (1 - 4·x + 6·x² - 4·x³ + 2·x⁴). A99589

G.f.: q-Cosh(x,q)² - q-Sinh(x,q)² at q=-x. A198199

G.f.: A(x,q) = sqrt( Q(x,q) / Q(x,-q) ), where Q(x,q) = ∑_n=-oo..+oo (x - qⁿ)ⁿ. A292929

Dirichlet inverse of function f(n) = 1+(A003415(n)*A276086(n)), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function. A359603

Triangle read by rows: T(n,k) is the coefficient [x^k] of (-1)ⁿ times the characteristic polynomial of the Cartan matrix for the root system D_n. A129862