Properties of the Number -12596

Twelve Thousand Five Hundred Ninety-Six

Basics

Value: -12597 → -12596 → -12595

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 47 × 67

Divisors: 1, 2, 4, 47, 67, 94, 134, 188, 268, 3149

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: -11000100110100

Octal: -30464

Duodecimal: -7358

Hexadecimal: -3134

Square: 158659216

Square Root: 112.2319027727856

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

Signed recurrence over binary strict trees: a(n) = 1 - ∑_{x + y = n, 0 < x < y < n} a(x) * a(y). A300866

a(n) = (2·n-1)*(n² -n +6)/6. A49480

Start with a single pentagon; at n-th generation add a pentagon at each expandable vertex; a(n) is the sum of all label values at n-th generation. (See comment for construction rules.) A247619

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001011. A260501

Denominators a(n) of Pythagorean approximations b(n)/a(n) to 5/4. A195565

Number of length n permutations avoiding (123,{1},{}) and (231,{},{2}). A249561

a(n) = ∑_d∣n d^τ(n/d). A345270

Predestined numbers A262743 in which every term is generated by at least one pair of products where all (and only those) first product's factor's digits are, in reverse order, the same as those of the second two factors. A262873

a(n) = number of pairs (p,q) of partitions of n such that d(p,q) > o(p,q), where d and o are distance functions; see Comments. A368566

a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor( n/2 ), s = natural numbers >= 3. A24875