Properties of the Number 37394

Thirty-Seven Thousand Three Hundred Ninety-Four

Basics

Value: 37393 → 37394 → 37395

Parity: even

Prime: No

Previous Prime: 37379

Next Prime: 37397

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 7 × 2671

Divisors: 1, 2, 7, 14, 2671, 5342, 18697, 37394

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001000010010

Octal: 111022

Duodecimal: 19782

Hexadecimal: 9212

Square: 1398311236

Square Root: 193.37528280522307

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

Unsigned bisection of A157308 and A157310. A158119

G.f. A(x) satisfies the condition that both A(x) and F(x) = A(x·F(x)) = g.f. of A155585 have zeros for every other coefficient after initial terms; g.f. of dual sequence A157309 satisfies the same condition. A157308

Triangle read by rows: T(n,k) is the number of unlabeled tiered posets with n elements and height k. A361957

G.f. A(x) satisfies the condition that both A(x) and F(x) = A(x/F(x)) = o.g.f. of A157309 have zeros for every other coefficient after initial terms; g.f. of dual sequence A155585 satisfies the same condition. A157310

Intersection of A361073 and 2·A361611. A361215

a(n) = ∑_k=0..n (2·k+1) * binomial(5·n-3·k+1,n-k)/(5·n-3·k+1). A390711

a(n) is the number of permutations of length n that avoid the pattern 321 and the mesh pattern (12, 175) or the same sequence for the mesh patterns (12, 235), (12, 430), (12, 490). A289593

G.f. satisfies: A(x) = G(x/A(x)) where o.g.f. G(x) = A(x·G(x)) = ∑_n>=0 A003701(n)*xⁿ. A172396

Tribonacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) for n >= 3 with a(0) = a(1) = 0 and a(2) = 1. A73

Decimal expansion of Mertens's constant, which is the limit of (∑_i=1..k 1/prime(i)) - log(log(prime(k))) as k goes to infinity, where prime(i) is the i-th prime number. A77761