Properties of the Number 36078

Thirty-Six Thousand Seventy-Eight

Basics

Value: 36077 → 36078 → 36079

Parity: even

Prime: No

Previous Prime: 36073

Next Prime: 36083

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 859

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 859, 1718

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110011101110

Octal: 106356

Duodecimal: 18A66

Hexadecimal: 8cee

Square: 1301622084

Square Root: 189.9420964399414

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 (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 3 4 6 or 7. A252369

Total number of partitions of all numbers <= n with designated summands, n >= 0. A384998

Least number k such that n·kⁿ +/- 1 are twin primes, or a(n) = 0 if no such number exists. A239735

Moessner triangle based on primes. A125312

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 3 4 6 or 7. A252364

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 3 4 6 or 7. A252366

(s(n)+s(n+1))/6, where s()=A006521. A16059

a(n) = n * (binomial(n,2) - 2). A341768

E.g.f.: exp((exp(p·x)-p-1)/p+exp(x)) for p=8. A36078