Properties of the Number 18046

Eighteen Thousand Forty-Six

Basics

Value: 18045 → 18046 → 18047

Parity: even

Prime: No

Previous Prime: 18043

Next Prime: 18047

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 × 1289

Divisors: 1, 2, 7, 14, 1289, 2578, 9023, 18046

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011001111110

Octal: 43176

Duodecimal: A53A

Hexadecimal: 467e

Square: 325658116

Square Root: 134.3354011420668

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

Expansion of x⁹/((1-x)*(1-x²)*(1-x³))². A117485

a(n) = (1/3ⁿ) * ∑_k=0..n³ ( (binomial(n³, k) * 2^k) (mod 3ⁿ) ). A376536

a(n) = n·p(n)-spt(n) (= n·A000041(n) - A092269(n)). A220907

Fifth diagonal of triangle A064094. A64096

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays x(i,j) with row sums sum{j²*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i²*x(i,j), i=1..n+1} nondecreasing. A232783

Column 1 of triangle A091604. A91611

Numbers n such that in Collatz (3x+1) trajectory of n, the number of terms < n equals number of terms > n. A217731

Number of (n+1)X(1+1) 0..2 arrays x(i,j) with row sums sum{j²*x(i,j), j=1..1+1} nondecreasing, and column sums sum{i²*x(i,j), i=1..n+1} nondecreasing. A232780

Number of squarefree parts in the partitions of n into 8 parts. A309461

Multiplicity of highest weight (or singular) vectors associated with character chi₁₇₁ of Monster module. A34559