Properties of the Number 10853

Ten Thousand Eight Hundred Fifty-Three

Basics

Value: 10852 → 10853 → 10854

Parity: odd

Prime: Yes

Previous Prime: 10847

Next Prime: 10859

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 10853

Divisors: 1, 10853

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001100101

Octal: 25145

Duodecimal: 6345

Hexadecimal: 2a65

Square: 117787609

Square Root: 104.17773274553444

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

Primes of the form 36·k² - 810·k + 2753, listed in order of increasing parameter k >= 0. A50268

a(0) = 0. For n > 0, smallest non-palindromic number k such that the smallest palindrome in the Reverse and Add! trajectory of k is reached after exactly n iterations. A23109

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 2,6]; short d-string notation of pattern = [626]. A78854

Five-digit distinct-digit primes. A74671

Number of nonagons that can be formed with perimeter n. A288255

Primes that are the first in a run of exactly 2 emirps. A346022

Primes p such that p+8, p+86, p+864 are prime. A236302

Primes which remain prime after one and after two applications of the rotate-and-add operation of A086002. A86003

a(n) = 36·n² - 810·n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44. A117081

Number of trees on n vertices which are not lobsters. A130132