Properties of the Number 3731

Three Thousand Seven Hundred Thirty-One

Basics

Value: 3730 → 3731 → 3732

Parity: odd

Prime: No

Previous Prime: 3727

Next Prime: 3733

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 7 × 13 × 41

Divisors: 1, 7, 13, 41, 91, 287, 533, 3731

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 111010010011

Octal: 7223

Duodecimal: 21AB

Hexadecimal: e93

Square: 13920361

Square Root: 61.08191221630181

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

Number of balanced partitions of n: the largest part equals the number of parts. A47993

Stirling numbers of the first kind: s(n+2, n). A914

Expansion of g.f.: ∏_n>0 1/(1 - 2^n-1*xⁿ). A75900

Number of partitions of n of order n. A74761

Strictly superdiagonal compositions: compositions (p1, p2, p3, ...) of n such that π > i. A238874

Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 6 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=3·floor(n/2), read by rows. A238550

Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 8 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=4·floor(n/2), read by rows. A238557

a(n)=A089551(n)/2. A89558

a(n) = n*(11·n+1)/2. A22269

Positive integers n such that 2ⁿ == 2¹¹ (mod n). A15935