Properties of the Number 18633

Eighteen Thousand Six Hundred Thirty-Three

Basics

Value: 18632 → 18633 → 18634

Parity: odd

Prime: No

Previous Prime: 18617

Next Prime: 18637

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 6211

Divisors: 1, 3, 6211, 18633

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100011001001

Octal: 44311

Duodecimal: A949

Hexadecimal: 48c9

Square: 347188689

Square Root: 136.50274722510167

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

p²-p+1 central polygonal numbers with prime indices A002061(prime(n)). A119959

Imbalance of the sum of parts of all partitions of n. A194797

Numbers n such that Q(sqrt(n)) has class number 9. A218041

G.f. satisfies: A(x) = ∑_n>=0 xⁿ * (1 + x·A(x)ⁿ⁺¹)ⁿ. A300042

Smaller terms in the pairs of numbers (a < b) in the sequence {a,b}-> {Max[{a,b}]-Min[{a,b}],k·Min[{a,b}]} with k=3 and the first pair {a=1,b=2}. See A075256. A75257

Indices m such that A128646(m)-1 is prime, where A128646 = denominator of partial sums of 1/(p(i)-1). A137689

Triangle T(n,k), read by rows, defined by T(n,k)=3·T(n-1,k)-T(n-1,k-1)-T(n-2,k), T(0,0)=1, T(1,0)=2, T(1,1)=-1, T(n,k)=0 if k<0 or if k>n. A123971

Number of (w,x,y) with all terms in {0,...,n} and w<x+y and x<y. A212980

Fundamental discriminants of real quadratic number fields with class number 9. A218159

Numbers k such that φ(k) is equal to A008473(k-1). A39780