Properties of the Number 3687

Three Thousand Six Hundred Eighty-Seven

Basics

Value: 3686 → 3687 → 3688

Parity: odd

Prime: No

Previous Prime: 3677

Next Prime: 3691

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 1229

Divisors: 1, 3, 1229, 3687

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111001100111

Octal: 7147

Duodecimal: 2173

Hexadecimal: e67

Square: 13593969

Square Root: 60.72067193304106

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 dependent sets with largest element n. A232466

Values of n such that L(9) and N(9) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A226929

Least non-balanced x (i.e., not in A020492) such that σ(2n-1,x)/φ(x) is an integer. A78539

Numbers k such that p=k²+2 and p+2 are primes. A86381

Number T(n,k) of subsets of {1,...,n} containing n and having at least one set partition into k blocks with equal element sum; triangle T(n,k), n>=1, 1<=k<=floor((n+1)/2), read by rows. A248112

Intrinsic 12-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base. A60949

Records in A014197. A131934

Sum of binary ranks of all integer partitions of n, where the binary rank of a partition y is given by Sum_i 2^y_i-1. A372890

Discriminants of imaginary quadratic fields with class number 42 (negated). A351680

a(0)=a(1)=1; for n>1, a(n) = 2·a(n-1) + 1 if a(n-1) and n are coprime, otherwise a(n) = a(n-1)/gcd(a(n-1),n). A133580