Properties of the Number 10618

Ten Thousand Six Hundred Eighteen

Basics

Value: 10617 → 10618 → 10619

Parity: even

Prime: No

Previous Prime: 10613

Next Prime: 10627

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 5309

Divisors: 1, 2, 5309, 10618

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101111010

Octal: 24572

Duodecimal: 618A

Hexadecimal: 297a

Square: 112741924

Square Root: 103.04368005850722

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=1..n φ(k)². A57434

a(n) = floor(sqrt(a(n-1)² + a(n-2)²)), a(1)=1, a(2)=3. A104803

Number of rich binary words of length n. A216264

Numbers n such that 8ⁿ + 3 is prime. A217354

Table T(n,k) read by antidiagonals. T(n,k) is the minimum value of ∑_i=1..n ∏_j=1..k r_j[i] where each r_j is a permutation of {1..n}. A260355

Number of maximal subsets of {1..n} containing no products of distinct elements. A325710

Number of partitions p of n such that the number of parts having multiplicity 1 is a part and max(p) - min(p) is not a part. A241449

Smallest number k such that exactly half the numbers in [1..k] are prime(n)-smooth. A290154

Number of compositions of n whose non-adjacent parts are strictly decreasing. A333193

a(n) is the minimal value of ∑_i=1..n ∏_j=1..8 r_j(i), where each r_j is a permutation of {1,2,...,n}. A260359