Properties of the Number 37998

Thirty-Seven Thousand Nine Hundred Ninety-Eight

Basics

Value: 37997 → 37998 → 37999

Parity: even

Prime: No

Previous Prime: 37997

Next Prime: 38011

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 2111

Divisors: 1, 2, 3, 6, 9, 18, 2111, 4222, 6333, 12666

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010001101110

Octal: 112156

Duodecimal: 19BA6

Hexadecimal: 946e

Square: 1443848004

Square Root: 194.9307569369185

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 parking functions of size n avoiding the pattern 123. A362741

a(n) = Sum{a(k): k=0,1,2,...,n-4,n-2,n-1}; a(n-3) is not a summand; initial terms are 0,3,4. A49863

Number of (1+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 7. A252385

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 7. A252384

Numbers whose maximal base-9 run length is 3. A37998