Properties of the Number 37893

Thirty-Seven Thousand Eight Hundred Ninety-Three

Basics

Value: 37892 → 37893 → 37894

Parity: odd

Prime: No

Previous Prime: 37889

Next Prime: 37897

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 17 × 743

Divisors: 1, 3, 17, 51, 743, 2229, 12631, 37893

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010000000101

Octal: 112005

Duodecimal: 19B19

Hexadecimal: 9405

Square: 1435879449

Square Root: 194.66124421671614

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

Partial sums of A299274. A299275

Generalized Catalan numbers: a(0) = 1, a(n) = a(n-1) + ∑_k=1..n-4 a(k) * a(n-k). A23425

Triangle read by rows: T(n,k) is the number of bargraphs of semiperimeter n having k peaks of width 1 (i.e., UHD configurations, where U=(0,1), H(1,0), D=(0,-1)), (n>=2, k>=0). A273715

Triangle read by rows: T(n,k) is the number of bargraphs of semiperimeter n having k valleys of width 1 (i.e., DHU configurations, where U=(0,1), H=(1,0), D=(0,-1)), (n>=2, k>=0). A273721

E.g.f.: A(x) = ∏_n>=0 { exp(x)*[∑_k=0..n (-x)^k/k! ] }. A129483

Number of length 6 1..(n+1) arrays with every leading partial sum divisible by 2 or 3. A257068

Poincaré series for invariant polynomial functions on the space of binary forms of degree 14. A293939

T(n,k)=Number of length n 1..(k+1) arrays with every leading partial sum divisible by 2 or 3. A257062

a(n)=(1/2)*Sum{|d(i)-e(i)|} where Sum{d(i)*7ⁱ} is the base 7 representation of n and e(i) are the digits d(i) in reverse order. A37893