Properties of the Number 37638

Thirty-Seven Thousand Six Hundred Thirty-Eight

Basics

Value: 37637 → 37638 → 37639

Parity: even

Prime: No

Previous Prime: 37633

Next Prime: 37643

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 17 × 41

Divisors: 1, 2, 3, 6, 9, 17, 18, 27, 34, 41

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 1001001100000110

Octal: 111406

Duodecimal: 19946

Hexadecimal: 9306

Square: 1416619044

Square Root: 194.0051545706969

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

Starts of runs of 3 consecutive Niven numbers in base 2 (A049445). A330932

θ series of E₆ lattice. A4007

Number of ordered triples (w,x,y) with all terms in {1,...,n} and w²<=x²+y². A211634

Nonprime numbers k such that k | sigma₃(k) + φ(k)³. A55970

Numbers n such that n·x/(x-1) produces a rotation of the digits in n for some value of x. A288669

Number of length 1+2 0..n arrays with no three consecutive terms having the sum of any two elements equal to twice the third. A248462

Number of maximal independent vertex sets in the n X n stacked book graph. A321248

a(n)=1+floor(sqrt(π/2)*p(n)#). A106558

Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 2,1,3. A37638