Properties of the Number 3688

Three Thousand Six Hundred Eighty-Eight

Basics

Value: 3687 → 3688 → 3689

Parity: even

Prime: No

Previous Prime: 3677

Next Prime: 3691

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 461

Divisors: 1, 2, 4, 8, 461, 922, 1844, 3688

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111001101000

Octal: 7150

Duodecimal: 2174

Hexadecimal: e68

Square: 13601344

Square Root: 60.728905802755904

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

Numbers m such that there are precisely 14 groups of order m. A294155

1 + ∑_{n >= 1} ∑_{k = 0..n-1} (-1)ⁿ*T(n,k)*y^2·k*x^2·n/(2·n)! = JacobiCN(x,y). A60627

Positive integers k such that k²⁰ + 1 is semiprime (A001358). A105282

Number of integer partitions of n having no permutation with all equal run-sums. A383096

Number of rooted trees with n nodes, at most half of which are leaves. A358584

T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235239

a(n) = number of steps to reach 0 when starting from k = (n³)-1 and repeatedly applying the map that replaces k with k - A055401(k), where A055401(k) = the number of positive cubes needed to sum to k using the greedy algorithm. A261228

Square array T(n,k), n >= 2, k >= 0, read by antidiagonals downwards, where T(n,k) = ∑_j=0..n k^n-j * floor(j/2). A368296

Numbers k such that numerator of ∑_i=1..k 1/(prime(i)-1) is prime. A92063

A014486-encodings of Catalan mountain ranges with no sea-level valleys, i.e., the rooted plane general trees with root degree = 1. A57547