Properties of the Number 65798

Sixty-Five Thousand Seven Hundred Ninety-Eight

Basics

Value: 65797 → 65798 → 65799

Parity: even

Prime: No

Previous Prime: 65789

Next Prime: 65809

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 2 × 167 × 197

Divisors: 1, 2, 167, 197, 334, 394, 32899, 65798

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000100000110

Octal: 200406

Duodecimal: 320B2

Hexadecimal: 10106

Square: 4329376804

Square Root: 256.51120833211166

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 integer partitions with sum <= n whose distinct parts can be linearly combined using nonnegative coefficients to obtain n. A365379

G.f. A(x) satisfies A(x) = 1 / (1 - x * (1 + x + x² + x³ + x⁴) * A(x⁵)). A367654

a(n) = ∑_k=1..n φ(gcd(k, n))ⁿ. A342539

Decimal expansion of (105507 + 65798·sqrt(2))/223². A159811

Number of unlabeled rooted trees with n nodes in which all positive outdegrees are different. A298478

Transform of A059502 applied to sequence 3,4,5,... A59506

Replace 2^k in binary expansion of n with 2^{2^k}. A358126

Numbers whose base-16 representation has exactly 5 runs. A43678

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+223)² = y². A130609

Positive numbers y such that y² is of the form x²+(x+223)² with integer x. A159809