Properties of the Number 3706

Three Thousand Seven Hundred Six

Basics

Value: 3705 → 3706 → 3707

Parity: even

Prime: No

Previous Prime: 3701

Next Prime: 3709

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 17 × 109

Divisors: 1, 2, 17, 34, 109, 218, 1853, 3706

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 111001111010

Octal: 7172

Duodecimal: 218A

Hexadecimal: e7a

Square: 13734436

Square Root: 60.876925020897694

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

Number of polyominoes with n cells, symmetric about two orthogonal axes. A56877

Number of strict non-knapsack integer partitions of n, meaning not every subset has a different sum. A316402

Number of integer partitions of n whose run-sums are not all equal. A382076

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without 2-loops. A221114

Number of partitions of n into distinct parts, none being 3. A15745

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock equal to one, and every 2X2 determinant nonzero. A206010

G.f.: ∑_n>=0 xⁿ * (1 + xⁿ)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺¹. A323557

Euler transform of A051064, the ruler function sequence for k=3. A173241

Positions of 7 in A274640. A275192