Properties of the Number 3795

Three Thousand Seven Hundred Ninety-Five

Basics

Value: 3794 → 3795 → 3796

Parity: odd

Prime: No

Previous Prime: 3793

Next Prime: 3797

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 11 × 23

Divisors: 1, 3, 5, 11, 15, 23, 33, 55, 69, 115

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011010011

Octal: 7323

Duodecimal: 2243

Hexadecimal: ed3

Square: 14402025

Square Root: 61.603571325045756

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

Square pyramidal numbers: a(n) = 0² + 1² + 2² + ... + n² = n*(n+1)*(2·n+1)/6. A330

a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n. A6918

a(n) = ∑_{k=1..n, gcd(n,k) = 1} k². A53818

Numbers m such that there are precisely 3 groups of order m. A55561

a(n) = n*(7·n - 1)/2. A22264

Number G(n,k) of set partitions of {1,...,n} into sets of size at most k; triangle G(n,k), n>=0, 0<=k<=n, read by rows. A229223

Number of intersection points of all lines through pairs of vertices of a regular n-gon. A146212

Q-residue of the (n+1)st Fibonacci polynomial, where Q is the triangular array (t(i,j)) given by t(i,j)=1. (See Comments.) A193649

Molien series of 4-dimensional representation of cyclic group of order 4 over GF(2) (not Cohen-Macaulay). A8610

Numbers k such that k² divides 16^k-1. A128396