Properties of the Number 36039

Thirty-Six Thousand Thirty-Nine

Basics

Value: 36038 → 36039 → 36040

Parity: odd

Prime: No

Previous Prime: 36037

Next Prime: 36061

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 41 × 293

Divisors: 1, 3, 41, 123, 293, 879, 12013, 36039

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110011000111

Octal: 106307

Duodecimal: 18A33

Hexadecimal: 8cc7

Square: 1298809521

Square Root: 189.83940581449363

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 compositions of n into prime parts. A23360

Number of nX1 0..1 arrays with no more than floor(nX1/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..1 order. A222353

Number of compositions (ordered partitions) of n into two or more primes. A348324

Number of nX2 0..1 arrays with no more than floor(nX2/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A223006

Irregular triangle of multinomial coefficients of integer partitions read by rows (in Abramowitz and Stegun ordering) giving the coefficients of the cycle index polynomials for the symmetric groups S_n. A36039

T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A223012