Properties of the Number 13738

Thirteen Thousand Seven Hundred Thirty-Eight

Basics

Value: 13737 → 13738 → 13739

Parity: even

Prime: No

Previous Prime: 13729

Next Prime: 13751

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 6869

Divisors: 1, 2, 6869, 13738

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010110101010

Octal: 32652

Duodecimal: 7B4A

Hexadecimal: 35aa

Square: 188732644

Square Root: 117.2092146548214

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

Numbers k such that k²⁵⁶ + 1 is prime. A56995

(A178476(n)-3)/9. A178486

a(n) = s(n,n) + s(n,n-1) + s(n,n-2), where s(n,k) are the unsigned Stirling numbers of the first kind (see A132393). A308305

Numbers k such that the continued fraction for sqrt(k) has period 81. A20420

McKay-Thompson series of class 42d for Monster. A58678

Numbers k such that φ(σ(k)+k) = σ(k-φ(k)), where φ is A000010 and σ is A000203. A63710

f(f(n+1))-f(f(n)), where f(m) = binary partition(m) = A000123(m). A111414

Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A316920

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 33. A31621

Positions where number of periodic partitions increases. A59994