Properties of the Number 10509

Ten Thousand Five Hundred Nine

Basics

Value: 10508 → 10509 → 10510

Parity: odd

Prime: No

Previous Prime: 10501

Next Prime: 10513

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 31 × 113

Divisors: 1, 3, 31, 93, 113, 339, 3503, 10509

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100001101

Octal: 24415

Duodecimal: 60B9

Hexadecimal: 290d

Square: 110439081

Square Root: 102.51341375644458

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

Riordan array (1/(1 + 5·x + x²), x/(1 + 5·x + x²))^-1; inverse of Riordan array A123967. A125906

O.g.f. A(x) satisfies: A(x) = 1 + Integral (x/A(x))' / (x/A(x)⁴)' dx. A302701

Number of compositions (ordered partitions) of n into distinct parts >= 5. A339103

Numbers k such that k divides the sum of digits in primorial base of all numbers from 1 to k. A333703

Numbers k for which A003973(k) is equal to 2*σ(k). A337384

Lucky numbers with size of gaps equal to 16 (lower terms). A31898

Number of rooted trees with a forbidden limb of length 4. A52327

a(n) = floor(3ⁿ / n³). A62278

Triangle read by rows, T(n, 1) = 1 and T(n,k) = q^k*T(n-1, k) + T(n-1, k-1) for 2 <= k <= n, n >= 1, with q=2. A176242

Main diagonal of A368179: the n-th term in the trajectory of n under the A006368 map. A368180