Properties of the Number -3456

Four Hundred Fifty-Six

Basics

Value: -3457 → -3456 → -3455

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁷ × 3 ³

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: -110110000000

Octal: -6600

Duodecimal: -2000

Hexadecimal: -d80

Square: 11943936

Square Root: 58.787753826796276

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

Triangle read by rows: T(n, k) is the coefficient of x^k in the polynomial 1 - T_n(x)², where T_n(x) is the n-th Chebyshev polynomial of the first kind. A123583

Triangle read by rows: T(n, k) is the coefficient of x^k in the polynomial 1 - ChT(n, x^1/2)², where ChT(n, x) is the n-th Chebyshev polynomial of the first kind, evaluated at x (0 <= k <= n). A123588

a(n) = n!*∑_k=1..n μ(k)/k, where μ(k) is the Möbius function. A68337

Expansion of g.f. A(x) satisfying ∑_n>=0 ∏_k=1..n (x^2·k-1 + A(x)) = ∏_k>=1 (1 - x^2·k) * (1 + x^k + A(x))² / (1 + x^2·k + A(x))². A370344

Coefficients for obtaining A120057 from Bell numbers. A120058

G.f.: ∑_n>=0 (n+1) * xⁿ * (1 + xⁿ)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺². A326285

El Gradechi's hybrid coefficients α^4,6_n. A331769

Triangle read by rows. T(n, k) are the coefficients of polynomials p_n(x) based on the Eulerian numbers of second order representing the Bernoulli numbers as B_n = p_n(1) / (2*(2·n - 1)!). A356547

a(n) = ∑_i=1..n (∏_j=1..n M(j, ((i+j-2) mod n)+1) - ∏_j=1..n M(j, ((i-j-1) mod n)+1)) where M is the n X n matrix with numbers 1, 2, ..., n² in order across rows. A389261

sin(arctan(x)²)=2/2!*x²-16/4!*x⁴+248/6!*x⁶-3456/8!*x⁸... A12457