Properties of the Number 65078

Sixty-Five Thousand Seventy-Eight

Basics

Value: 65077 → 65078 → 65079

Parity: even

Prime: No

Previous Prime: 65071

Next Prime: 65089

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 13 × 2503

Divisors: 1, 2, 13, 26, 2503, 5006, 32539, 65078

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111000110110

Octal: 177066

Duodecimal: 317B2

Hexadecimal: fe36

Square: 4235146084

Square Root: 255.1039004013855

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

G.f. A(x) satisfies A(x/A(x)⁶) = 1/(1-x). A145167

Numbers that define integer Heronian triangles [prime(a(n)), prime(a(n)+1), A068965(n)] with area A068966(n). A68964

a(n) = 6+32·n²+8·n*(7+8·n²)/3. A167498

Triangle read by rows: a(n,m) = T[n,m,m] where T[i,j,k] is the 3-dimensional pyramid defined by T[n,m,0]=1 and T[i,j,k]=0 if j>i or k>j and T[i,j,k]=T[i-1,j,k]+T[i,j-1,k]+T[i,j,k-1]. A65078

Number of length 5+5 0..n arrays with no six consecutive terms having the maximum of any two terms equal to the minimum of the remaining four terms. A249965