Properties of the Number 3905

Three Thousand Nine Hundred Five

Basics

Value: 3904 → 3905 → 3906

Parity: odd

Prime: No

Previous Prime: 3889

Next Prime: 3907

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 11 × 71

Divisors: 1, 5, 11, 55, 71, 355, 781, 3905

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101000001

Octal: 7501

Duodecimal: 2315

Hexadecimal: f41

Square: 15249025

Square Root: 62.489999199871974

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) = 8·a(n-1) - a(n-2); a(0) = 0, a(1) = 1. A1090

Period of the sequence of Bell numbers A000110 (mod n). A54767

Numbers m such that there are precisely 7 groups of order m. A249550

A(n,k) = ∑_i=1..k nⁱ; square array A(n,k), n>=0, k>=0, read by antidiagonals. A228275

a(n) = ∑_d∣n (2^n-d). A74854

a(n) = 4·n² - 6·n + 1. A125202

Number of singular 2 X 2 matrices having all elements in {-n,...,n}. A209981

T(n,k)=Number of length n 0..k arrays with each partial sum starting from the beginning no more than sqrt(2) standard deviations from its mean. A244903

Good sequence of increments for Shell sort (best on big values). A33622

a(n) = U_n(n) where U_n(x) is a Chebyshev polynomial of the second kind. A323118