Properties of the Number -10996

Ten Thousand Nine Hundred Ninety-Six

Basics

Value: -10997 → -10996 → -10995

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 2749

Divisors: 1, 2, 4, 2749, 5498, 10996

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10101011110100

Octal: -25364

Duodecimal: -6444

Hexadecimal: -2af4

Square: 120912016

Square Root: 104.86181383134664

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 T(n,k), 0 <= k <= n, read by rows, defined by: T(0,0) = 1, T(n,k) = 0 if n<k, T(n,0) = T(n-1,0) + T(n-1,1) and for k >= 1: T(n,k) = T(n-1,k-1) + x·T(n-1,k) + T(n-1,k+1) with x = 3. A110877

T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1. A285750

T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 one less than the number of 0's adjacent to some 1. A284771

Discriminants of imaginary quadratic fields with class number 42 (negated). A351680

Consider a number x > 1. Take the sum of its digits. Repeat the process deleting the first addendum and adding the previous sum. The sequence lists the numbers that after some iterations reach the Euler totient function of x. A269310

Dirichlet convolution of Fibonacci numbers with φ(n). A34748

Number of symmetry classes of 3 X 3 magilatin squares with positive values < n. A173729

Number of 2 X 2 matrices having all elements in {-n,...,n} and determinant 1. A209982

Numbers k such that sum of digits of k = sum of digits of anti-divisors of k. A213239

Volume of the Johnson square pyramid (rounded down) with all the edge lengths equal to n. A229063