Properties of the Number -32256

Thirty-Two Thousand Two Hundred Fifty-Six

Basics

Value: -32257 → -32256 → -32255

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁹ × 3 ² × 7

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -111111000000000

Octal: -77000

Duodecimal: -16800

Hexadecimal: -7e00

Square: 1040449536

Square Root: 179.5995545651492

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

Triangle of coefficients of Euler polynomials 2ⁿ*E_n(x) (exponents in increasing order). A4174

Chebyshev coefficients of density of states of cubic lattice. A288458

Triangle of coefficients of Euler polynomials 2ⁿ*E_n(x) (exponents in decreasing order). A4175

Matrix inverse of triangle A088956. A215534

sech(arctan(x)*log(x+1)) = 1 - 12/4!*x⁴ + 60/5!*x⁵ - 90/6!*x⁶ + 420/7!*x⁷... A12407

Difference between the number of even reduced Latin rectangles of size 3 X n and the number of odd ones. A98276

Expansion of (sqrt(1-8·x)-4·x)/sqrt(1-8·x). A98580

Triangle read by rows: nonzero coefficients of polynomials 2ⁿ*E(n,x), with E the Euler polynomials. A99932

A triangular sequence from an expansion of coefficients of the function: p(x,t)=Exp(x·g*(t))*(1-f(t)²);f(t)=4/(t⁴-1);g(t)=t. (based on the Weierstrass functions of Scherk's minimal surface). A137520

A triangular sequence of coefficients of an expansion of a Mach wave as a traveling wave in a medium: (vt')² = vp·vg = c² - (γ-1)/(γ+1)*vt²; Substituting: vt -> exp(t·x); γ->t; c->1; p(x,t) = 1 - exp(2·x*t)*(t - 1)/(1 + t). A138024