Properties of the Number 10665

Ten Thousand Six Hundred Sixty-Five

Basics

Value: 10664 → 10665 → 10666

Parity: odd

Prime: No

Previous Prime: 10663

Next Prime: 10667

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 79

Divisors: 1, 3, 5, 9, 15, 27, 45, 79, 135, 237

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110101001

Octal: 24651

Duodecimal: 6209

Hexadecimal: 29a9

Square: 113742225

Square Root: 103.27148686835103

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

Main diagonal of array in A358304, divided by 2. A358307

Pairs of deficient numbers having the same value of σ(k)/k in the order that they are found. A211680

a(n) = n*(25·n - 39)/2. A263231

Positive numbers having the same set of digits in base 9 and base 10. A37443

Number of inequivalent vertex colorings of connected graphs on n unlabeled vertices. A340027

For 1<=x<=n, 1<=y<=n, with gcd(x,y)=1, write 1 = gcd(x,y) = u·x+v·y with u,v minimal; a(n) = sum of the values of u²+v². A345431

Maximal coefficient of (1 + x) * (1 + x³) * (1 + x⁶) * ... * (1 + x^n*(n+1/2)). A359348

E.g.f. A(x) satisfies A(x) = (1 + x·A(x)³) * exp(x·A(x)). A377891

a(n) = n³ + 17. A84379

Difference between n-th prime squared and n-th perfect square. A106588