Properties of the Number 18065

Eighteen Thousand Sixty-Five

Basics

Value: 18064 → 18065 → 18066

Parity: odd

Prime: No

Previous Prime: 18061

Next Prime: 18077

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 3613

Divisors: 1, 5, 3613, 18065

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011010010001

Octal: 43221

Duodecimal: A555

Hexadecimal: 4691

Square: 326344225

Square Root: 134.40610105199838

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

Number of integer partitions of n with reverse-alternating sum < 0. A344608

Number of integer partitions of 2n with reverse-alternating sum < 0. A344743

Numbers k such that k² + 1 is divisible by precisely five distinct primes where the sum of the largest and the smallest is equal to the sum of the other three. A192771

Number of (w,x,y,z) with all terms in {1,...,n} and w+x+y=|x-y|+|y-z|. A212678

Numbers which do not reach zero under either of the iterations: x -> floor(sqrt(x)) * (x - floor(sqrt(x))²) or y -> ceiling(sqrt(y)) * (ceiling(sqrt(y))² - y). A219963

Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only either four adjacent vertically or four adjacent horizontally. A145790

Numbers k such that the sum of the largest and the smallest prime divisor of k² + 1 equals the sum of the other distinct prime divisors. A199924

Number of 4 X n 0..2 arrays with no element equal to any value at offset (0,-1) (-1,-1) or (-2,0) and new values introduced in order 0..2. A274896

Multiplicity of highest weight (or singular) vectors associated with character chi₉ of Monster module. A34397

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (0,-1) (-1,-1) or (-2,0) and new values introduced in order 0..2. A274895