Properties of the Number -11306

Eleven Thousand Three Hundred Six

Basics

Value: -11307 → -11306 → -11305

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 5653

Divisors: 1, 2, 5653, 11306

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10110000101010

Octal: -26052

Duodecimal: -6662

Hexadecimal: -2c2a

Square: 127825636

Square Root: 106.3296760081587

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,k) is the n-th positive integer that has exactly k representations of the form 1 + p1 * (1 + p2* ... * (1 + p_j)...), where [p1, ..., p_j] is a (possibly empty) list of distinct primes; square array A(n,k), n>=1, k>=0, read by antidiagonals. A317390

Number of integer partitions of n whose number of submultisets is less than n. A325833

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 1 0 vertically. A207488

Magic sums of 3 X 3 semimagic squares composed of positive squares. A269061

Centered 19-gonal numbers. A69132

Start from the singleton set S = {n}, and unless 1 is already a member of S, generate on each iteration a new set where each odd number k is replaced by 3k+1, and each even number k is replaced by 3k+1 and k/2. a(n) is the size of the set after the first iteration which has produced 1 as a member. A290100

Smallest positive integer that has exactly n representations of the form 1 + p1 * (1 + p2* ... * (1 + p_j)...), where [p1, ..., p_j] is a (possibly empty) list of distinct primes. A317385

Number of partitions of n such that the number of parts and the smallest part are coprime. A200928

G.f.: ∏_m>0 (1 + x^m + 2!*x^2·m + 3!*x^3·m + 4!*x^4·m + 5!*x^5·m). A293250

Expansion of ∏_{1 <= i < j} 1/(1 - x^i·j). A321285