Properties of the Number 13761

Thirteen Thousand Seven Hundred Sixty-One

Basics

Value: 13760 → 13761 → 13762

Parity: odd

Prime: No

Previous Prime: 13759

Next Prime: 13763

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 139

Divisors: 1, 3, 9, 11, 33, 99, 139, 417, 1251, 1529

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010111000001

Octal: 32701

Duodecimal: 7B69

Hexadecimal: 35c1

Square: 189365121

Square Root: 117.30728877610291

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 series-reduced rooted trees whose leaves are integer partitions whose multiset union is an integer partition of n. A319312

28-gonal numbers: a(n) = n*(13·n - 12). A161935

Euler transform of 2^floor(n/2), (A016116). A358369

Numbers k such that A003415(k) == A276085(k) (mod 5⁵), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function. A391865

Numbers n such that n+/-2 and n²+/-2 are all primes. A189051

a(n) = A277713(n)/3. A277714

Expansion of ∏_k>0 (1 - q^3·k)⁵/((1 - q^k)³*(1 - q^6·k)²). A293423

Least k for the inner Theodorus spiral to complete n revolutions. A295339

Gaston Tarry's 1905 trimagic square of order 128, read by rows. A381002

Number of equivalence classes of Dyck paths of semilength n for the string udu. A274289