Properties of the Number 18007

Eighteen Thousand Seven

Basics

Value: 18006 → 18007 → 18008

Parity: odd

Prime: No

Previous Prime: 17989

Next Prime: 18013

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 11 × 1637

Divisors: 1, 11, 1637, 18007

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100011001010111

Octal: 43127

Duodecimal: A507

Hexadecimal: 4657

Square: 324252049

Square Root: 134.19016357393713

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

Smallest number k such that M(n)²+k·M(n)-1 is prime with M(n)= Mersenne primes =A000668(n). A139426

G.f.: ∑_k>=1 x^k/(1-x^k) * ∏_k>=1 (1+x^k). A305082

Positions of zeros in A165597. A165598

T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order. A222587

In those partitions of n with every part >=3, the total number of parts (counted with multiplicity). A177739

Number of nX3 0..2 arrays with no more than floor(nX3/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order. A222583

Smallest number k such that sopf(k)/digsum(k) = prime(n) where sopf(k) is the sum of the distinct primes dividing k and digsum(k) the sum of digits of k. A241049

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 398", based on the 5-celled von Neumann neighborhood. A271695

a(n) = ∑_{-n<i<n, -n<j<n, gcd{i,j}=3} (n-|i|)*(n-|j|)/4. A331775

a(n) = (d(n)-r(n))/2, where d = A026043 and r is the periodic sequence with fundamental period (1,1,0,0). A26044