Properties of the Number 37206

Thirty-Seven Thousand Two Hundred Six

Basics

Value: 37205 → 37206 → 37207

Parity: even

Prime: No

Previous Prime: 37201

Next Prime: 37217

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 13 × 53

Divisors: 1, 2, 3, 6, 9, 13, 18, 26, 27, 39

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000101010110

Octal: 110526

Duodecimal: 19646

Hexadecimal: 9156

Square: 1384286436

Square Root: 192.8885688681421

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) = n*(n+1)*(2·n+1). A55112

Number of partitions of n such that 2*(least part) <= greatest part. A237821

Number of 2 X 2 non-singular integer matrices with entries from {0,...,n}. A62801

a(0) = 1 and a(n) = (1/n) * ∑_k=1..n (-1)^n-k * binomial(n,k) * binomial(n+(n-1)*k,k-1) for n > 0. A336713

a(n) = n*(n+1)*(n² + 21·n + 50)/24. A101854

Expansion of series related to Liouville's Last Theorem: g.f. ∑_t>0 (-1)^t+1 *x^t*(t+1/2) / ( (1-x^t)⁶ *∏_i=1..t (1-xⁱ) ). A59823

G.f. A(x) satisfies A(x) = 1 + x·A(x)⁶/(1 + x·A(x)). A378919

Numbers k such that if you subtract k from its reversal you get a positive number with the same digits as k. A121970

Number of partitions satisfying cn(1,5) <= cn(2,5) + cn(3,5) and cn(4,5) <= cn(2,5) + cn(3,5). A39890

Integer areas of integer-sided triangles where at least one of the three altitudes is of prime length. A256579