Properties of the Number 36038

Thirty-Six Thousand Thirty-Eight

Basics

Value: 36037 → 36038 → 36039

Parity: even

Prime: No

Previous Prime: 36037

Next Prime: 36061

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 37 × 487

Divisors: 1, 2, 37, 74, 487, 974, 18019, 36038

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110011000110

Octal: 106306

Duodecimal: 18A32

Hexadecimal: 8cc6

Square: 1298737444

Square Root: 189.83677199109766

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

Triangle T(n,k) read by rows: number of k X k triangular matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n, n>=1, 1<=k<=n. A137251

T(n,k) = Number of n X k 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. A283572

Shifts 7 places left under Euler transform with a(0)=0 and a(n)=1 for n<7. A218024

Number of nX3 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. A283567

Number of 6Xn 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. A283577

Triangle T(n,k) read by rows: multinomial coefficients for the partitions of n listed in Abramowitz-Stegun order, 1 <= k <= A000041(n). A36038