Properties of the Number 37604

Thirty-Seven Thousand Six Hundred Four

Basics

Value: 37603 → 37604 → 37605

Parity: even

Prime: No

Previous Prime: 37591

Next Prime: 37607

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7 × 17 × 79

Divisors: 1, 2, 4, 7, 14, 17, 28, 34, 68, 79

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001011100100

Octal: 111344

Duodecimal: 19918

Hexadecimal: 92e4

Square: 1414060816

Square Root: 193.91750823481618

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

T(n,k)=Number of length n+4 0..k arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..k introduced in 0..k order. A244185

Number of (w,x,y) with all terms in {0,...,n} and |w-x| ≠ |x-y|. A212960

Number of length n+4 0..3 arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..3 introduced in 0..3 order. A244178

Number of Sylvester classes of 3-packed words of degree n. A243659

The n-th term of the n-th inverse binomial transform of this sequence equals (n+1)^n-1 for n>=0. A138737

a(n) = ∑_k=0..n 2^n-k * binomial(n,k) * binomial(3·n+1,k). A388130

Base-4 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3. A37604

Number of nX6 0..1 arrays avoiding the patterns 0 1 0 or 1 0 1 in any row, column, diagonal or antidiagonal. A206985