Properties of the Number -10896

Ten Thousand Eight Hundred Ninety-Six

Basics

Value: -10897 → -10896 → -10895

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 227

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: -10101010010000

Octal: -25220

Duodecimal: -6380

Hexadecimal: -2a90

Square: 118722816

Square Root: 104.38390680559911

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

a(n) = n*(8·n² - 5)/3. A63523

Number of integer partitions of n such that the maximum is greater than or equal to twice the median. A361859

T(n,k) = number of defective 3-colorings of an n X k 0..2 array connected diagonally and antidiagonally with exactly two mistakes, and colors introduced in row-major 0..2 order. A229685

Rectangular table of coefficients T(k,n) in row functions R(k,x) = ∑_n>=0 T(k,n)*xⁿ that satisfy the condition: ∑_n>=0 xⁿ/(1 - x·R(k,x)^n+k) = ∑_n>=0 xⁿ*R(k,x)ⁿ/(1 - x·R(k,x)^k·n+k-1), for k >= 0, read here by antidiagonals. A340940

Number of partitions of n such that neither the number of parts nor the number of distinct parts is a part. A241380

a(n) = 2·a(n-1) + 2·a(n-2) - 3·a(n-3), with a(0) = 0, a(1) = 1, a(2) = 2. A99232

G.f. A(x) satisfies: ∑_n>=0 xⁿ*A(x)^5·n/(1 - x·A(x)ⁿ) = ∑_n>=0 xⁿ*A(x)ⁿ/(1 - x·A(x)^5·n+4). A341376

A convolution triangle of numbers generalizing Pascal's triangle A007318. A49325

Number of ways to place 6 nonattacking amazons (superqueens) on a 6 X n board. A174645

Binomial convolution of the binomial coefficients bin(3n,n) (A005809) and bin(3n,n)/(2n+1) (A001764). A188913