Properties of the Number 10465

Ten Thousand Four Hundred Sixty-Five

Basics

Value: 10464 → 10465 → 10466

Parity: odd

Prime: No

Previous Prime: 10463

Next Prime: 10477

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 7 × 13 × 23

Divisors: 1, 5, 7, 13, 23, 35, 65, 91, 115, 161

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 10100011100001

Octal: 24341

Duodecimal: 6081

Hexadecimal: 28e1

Square: 109516225

Square Root: 102.2985825903761

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

a(n) = n*(31·n-1)/2. A22288

Smallest order of cyclotomic polynomial containing n or -n as a coefficient. A13594

Expansion of ∏_n>=1 (1+xⁿ)^prime(n). A61152

a(n) = (2·n + 1)*(5·n + 1). A33571

Indices of records in heights of cyclotomic polynomials (A160338). A160340

Triangle, read by rows, that transforms rows into diagonals in the table of coefficients of successive iterations of x+x² (cf. A122888). A166900

Numbers n such that sopf(φ(n)) = φ(sopf(n)), where sopf(x) = sum of the distinct prime factors of x. A76531

Numbers k such that the central binomial coefficient C(2k,k) is divisible by k². A121943

Numbers k such that 2^k + 29 is prime. A156982

Least k such that the k-th cyclotomic polynomial has n as a coefficient. A262404