10853
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10854
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10852
- Möbius Function
- -1
- Radical
- 10853
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 161
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1319
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest k such that the smallest palindrome > k in the Reverse and Add! trajectory of k is reached after exactly n iterations.at n=25A015994
- Numbers k such that the continued fraction for sqrt(k) has period 35.at n=23A020374
- Primes of the form 36*n^2 - 810*n + 2753, n >= 0, sorted.at n=16A022464
- 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.at n=26A023109
- Least number of Reverse-then-add persistence n.at n=26A033866
- Numbers whose base-4 representation contains exactly three 1's and four 2's.at n=33A045104
- Primes of the form 36*k^2 - 810*k + 2753, listed in order of increasing parameter k >= 0.at n=16A050268
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 11.at n=22A050960
- a(n) is the least odd number of the form p + k^2 with p prime and k > 0 which can be represented in exactly n different ways.at n=35A059400
- Five-digit distinct-digit primes.at n=31A074671
- 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].at n=17A078854
- Primes which remain prime after one and after two applications of the rotate-and-add operation of A086002.at n=2A086003
- Primes p such that index of p, the sum of p's digits and the number of p's digits are all primes.at n=26A109982
- a(n) = 36*n^2 - 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.at n=30A117081
- Number of trees on n vertices which are not lobsters.at n=16A130132
- Values of A134204(n) for n in A133242.at n=18A133243
- Primes of the form 5x^2+273y^2.at n=40A140016
- Primes congruent to 12 mod 37.at n=35A142121
- Primes congruent to 29 mod 41.at n=35A142226
- Primes congruent to 17 mod 43.at n=31A142266