Properties of the Number 3901

Three Thousand Nine Hundred One

Basics

Value: 3900 → 3901 → 3902

Parity: odd

Prime: No

Previous Prime: 3889

Next Prime: 3907

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 47 × 83

Divisors: 1, 47, 83, 3901

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100111101

Octal: 7475

Duodecimal: 2311

Hexadecimal: f3d

Square: 15217801

Square Root: 62.457985878508765

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

Centered pentagonal numbers: (5n²+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net. A5891

Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6·k*(k-1) + 1. A3154

Numbers that are the sum of 9 positive 6th powers. A3365

Numbers k such that k, k+1 and k+2 are products of two primes. A56809

Smallest of three consecutive squarefree numbers k, k+1, k+2 of the form p·q where p and q are distinct primes. A39833

G.f. A(x) satisfies A(x) = 1 + x·A(x)⁵ / (1 - x). A349332

a(n) = A031287(n) + A031288(n) + A031289(n) + A031290(n) + A031291(n) + A031292(n) + A031293(n) + A031294(n) + A031295(n) + A031296(n). A193428

Hyperperfect numbers: x such that x = 1 + k*(σ(x)-x-1) for some k > 0. A34897

a(n) = ∑_k=0..n (k-n)^k. A38125

Centered 13-gonal numbers. A69126