Properties of the Number 37688

Thirty-Seven Thousand Six Hundred Eighty-Eight

Basics

Value: 37687 → 37688 → 37689

Parity: even

Prime: No

Previous Prime: 37663

Next Prime: 37691

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 7 × 673

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 673, 1346

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001100111000

Octal: 111470

Duodecimal: 19988

Hexadecimal: 9338

Square: 1420385344

Square Root: 194.13397435791603

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

a(n) = ∑_{1 <= i < j <= n} (j-i)³. A24166

Number of partitions of n into decimal palindromes. A91580

Triangle read by rows: T(n,k) is the number of digraphs on n unlabeled nodes with k arcs and a global source (or sink), n >= 1, k = 0..(n-1)². A350797

Number of partitions of n into decimal repdigit numbers. A88669

a(n) = binomial(n+3,6) + binomial(n+1,5) + binomial(n,5). A5732

Triangle T(n,m) read by rows: matrix product A053121·A038207. A96164

Number of n-vertex binary trees that do not contain 0((00)[0(00)]) as a subtree. A365510

Numbers k such that 14^k - 3 is prime. A339924

Duplicate of A024166. A85437

T(n, k) = ∑_{m = 0..n-1} Stirling1(m+1, k)*binomial(n, m)*(-1)^{n + k}, where "Stirling1" are the signed Stirling numbers of the first kind. A367198