Properties of the Number 13778

Thirteen Thousand Seven Hundred Seventy-Eight

Basics

Value: 13777 → 13778 → 13779

Parity: even

Prime: No

Previous Prime: 13763

Next Prime: 13781

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 83 ²

Divisors: 1, 2, 83, 166, 6889, 13778

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010111010010

Octal: 32722

Duodecimal: 7B82

Hexadecimal: 35d2

Square: 189833284

Square Root: 117.37972567696688

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) = 2·prime(n)². A79704

Maximum number of regions into which the plane can be divided using n (concave) quadrilaterals. A77591

2·p², for p an odd prime. A143928

Numbers k that, when expressed in base 7 and then interpreted in base 10, give a multiple of k. A62944

Numbers n such that there are precisely 5 groups of orders n and n + 1. A295991

a(n) = ∑_k=0..n E2(n, k)*2^k, where E2(n, k) are the second-order Eulerian numbers A340556. A112487

Numbers k such that φ(k) == 2 (mod 12), where φ is the Euler totient function (A000010). A332511

a(1) = 0, a(2) = -2; for n > 2, a(n) + a(n-2) - a(n-3) - a(n-5) - ... - a(n-p) = (-1)ⁿ⁺¹*n if n is prime, otherwise = 0, where p = largest prime < n. A2120

Numbers that, when expressed in base 7 and then interpreted in base 10, yield a multiple of the original number. A32549

Numbers k such that σ(k)*φ(k) is squarefree. A65299