Properties of the Number 37816

Thirty-Seven Thousand Eight Hundred Sixteen

Basics

Value: 37815 → 37816 → 37817

Parity: even

Prime: No

Previous Prime: 37813

Next Prime: 37831

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 29 × 163

Divisors: 1, 2, 4, 8, 29, 58, 116, 163, 232, 326

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001110111000

Octal: 111670

Duodecimal: 19A74

Hexadecimal: 93b8

Square: 1430049856

Square Root: 194.46336415890784

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

Number of planar partitions of n, but partitions that are mirror images of each other (when regarded as 3-D objects) are counted only once. A48140

Numbers p of primitive Pythagorean triangles such that perimeters and products of 3 sides are Averages of twin prime pairs, q=p+1, a=q²-p², c=q²+p², b=2·p*q, ar=a·b/2; s=a+b+c, s-+1 are primes, pr=a·b*c, pr-+1 are primes. A155178

Numbers k such that there is a number m < k satisfying A000203(k) = A000203(m) = m + k - gcd(m,k). A124141

Expansion of g.f.: x*(2 - 9·x - 4·x²)/((1 - 5·x + x²)*(1 - 5·x - x²)). A106804

Number of binary strings of length n with no substrings equal to 0001 0100 or 1101. A164467

Numbers k such that k² + 1 = p·q, p and q primes and |p-q| is square. A187401

Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A305906

Triangle read by rows: T(n,k) = number of Ringel ladders of order n and genus k. A298800

Number of i such that d(i) <= d(i-1), where ∑_i=0..m d(i)*9ⁱ is the base-9 representation of n. A37816

T(n,k) = Number of n X k 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A305911