Properties of the Number 10505

Ten Thousand Five Hundred Five

Basics

Value: 10504 → 10505 → 10506

Parity: odd

Prime: No

Previous Prime: 10501

Next Prime: 10513

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 5 × 11 × 191

Divisors: 1, 5, 11, 55, 191, 955, 2101, 10505

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100001001

Octal: 24411

Duodecimal: 60B5

Hexadecimal: 2909

Square: 110355025

Square Root: 102.49390225764652

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) = (2·n - 1)*(7·n² - 7·n + 6)/6. A63490

Numbers m such that there are precisely 7 groups of order m. A249550

a(n) = 4·n² - 6·n + 1. A125202

T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no horizontal, diagonal or antidiagonal neighbor in a random 0..2 nXk array. A219142

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards. A204039

Numbers n such that the sum of digits of 2n equals 4. A279772

Integers that need 10 iterations of the map x->A352172(x) to reach 1. A352268

a(n) = (prime(1+n)*prime(n)) + prime(n) + 1. A286624

Digitally balanced numbers in base 6: equal numbers of 0's, 1's, ..., 5's. A49357

Pell equation solutions (5·a(n))² - 26·b(n)² = -1 with b(n):=A097727(n), n >= 0. A97726