Properties of the Number 13763

Thirteen Thousand Seven Hundred Sixty-Three

Basics

Value: 13762 → 13763 → 13764

Parity: odd

Prime: Yes

Previous Prime: 13759

Next Prime: 13781

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 13763

Divisors: 1, 13763

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010111000011

Octal: 32703

Duodecimal: 7B6B

Hexadecimal: 35c3

Square: 189420169

Square Root: 117.31581308587518

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

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n·b(n-2), where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A296284

Numbers m that divide ∑_k=1..m φ(k). A48290

Numbers k such that prime(k) + prime(k+1) is a square. A64397

Fibonacci sequence beginning 1, 8. A22098

Least k for the Theodorus spiral to complete n revolutions. A72895

The first of two consecutive primes with equal digital sums. A66540

Numbers k that divide ∑_j=1..k A051953(j) where A051953(j) = j - φ(j). Arithmetic mean of first k cototient values is an integer. A63986

Primes that are the difference of two Lucas numbers; primes in A113191. A113192

Five-digit mountain-type primes that increase to and decrease from the central digit, including palindromes. A156116

Primes with multiplicative persistence value 5. A46505