Properties of the Number 37555

Thirty-Seven Thousand Five Hundred Fifty-Five

Basics

Value: 37554 → 37555 → 37556

Parity: odd

Prime: No

Previous Prime: 37549

Next Prime: 37561

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 7 × 29 × 37

Divisors: 1, 5, 7, 29, 35, 37, 145, 185, 203, 259

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001010110011

Octal: 111263

Duodecimal: 19897

Hexadecimal: 92b3

Square: 1410378025

Square Root: 193.79112466777212

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

Expansion of g.f. sqrt( (1+x - sqrt(1-18·x+x²)) / (10·x*(1-18·x+x²)) ). A243947

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of sqrt(2 / ( (1-2*(k+4)*x+((k-4)*x)²) * (1+(k-4)*x+sqrt(1-2*(k+4)*x+((k-4)*x)²)) )). A337369

Let Do(n) = A006566(n) = n-th dodecahedral number. Consider all integer triples (i,j,k), j >= k>0, with Do(i) = Do(j) + Do(k), ordered by increasing i; sequence gives i values. A53017

a(n) = a(n-1) + 3·a(n-2) -2·a(n-3) - 2·a(n-4), where a(0) = 0, a(1) = 1, a(2) = 2, a(3) = 3. A295723

a(n) = a(n-1) + 3·a(n-2) -2·a(n-3) - 2·a(n-4), where a(0) = -1, a(1) = 1, a(2) = 1, a(3) = 1. A295727

Rectangular array A(n, k) = hypergeom([-k, k + n/2 - 1], [1], -4) with row n >= 0 and k >= 0, read by ascending antidiagonals. A300945

Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,1. A37555