Properties of the Number 3807

Three Thousand Eight Hundred Seven

Basics

Value: 3806 → 3807 → 3808

Parity: odd

Prime: No

Previous Prime: 3803

Next Prime: 3821

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 47

Divisors: 1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011011111

Octal: 7337

Duodecimal: 2253

Hexadecimal: edf

Square: 14493249

Square Root: 61.7008914036094

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

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 1 + 5x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >=3, where u = p(2,x), v = 1 - x - x². A367210

Values of n such that n²-2 and n²+2 are both prime. A108701

Generalized pentagonal numbers: a(n) = 12·n + 3·n*(n-1)/2. A151542

a(1) = 5; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A74340

Number of n-step 2-dimensional closed self-avoiding paths on triangular lattice, reduced for symmetry, i.e., where rotations and reflections are not counted as distinct. A284869

Number of prime powers (p², p³, ...) <= 2ⁿ. A36386

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 8 multiples of n-1, n-2, ..., 1, for n>=1. A113745

Sum of the second largest parts of the partitions of n into 8 squarefree parts. A326451

Bisection of toothpick sequence A139250. A159791

Number of partitions of n having standard deviation σ > 2. A238661