Properties of the Number 77098

Seventy-Seven Thousand Ninety-Eight

Basics

Value: 77097 → 77098 → 77099

Parity: even

Prime: No

Previous Prime: 77093

Next Prime: 77101

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 × 7 × 5507

Divisors: 1, 2, 7, 14, 5507, 11014, 38549, 77098

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010110100101010

Octal: 226452

Duodecimal: 3874A

Hexadecimal: 12d2a

Square: 5944101604

Square Root: 277.6652661029103

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 (5+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254911

Number of (n+2) X (2+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001011. A260278

Poincaré series [or Poincare series] P(C_6,2; x). A124614

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254907

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001011. A260284

Length of period of the continued fraction expansion of sqrt(-1+nⁿ). A77098