10169
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
- 10170
- 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
- 10168
- Möbius Function
- -1
- Radical
- 10169
- 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
- 86
- 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
- 1249
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 81.at n=8A020420
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=43A024842
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 15.at n=6A031603
- Primes p such that x^41 = 2 has no solution mod p.at n=31A059236
- a(n) = A061086(n) / n.at n=12A061087
- Odd prime values of sigma(k) - phi(k) taking k in increasing order.at n=34A068419
- Numbers n such that n and the n-th prime have the same digits.at n=31A074350
- G.f.: (1+x)/Product_{m>0} (1 - x^m).at n=30A084376
- Primes which when added to their own rotation yield a prime.at n=29A086002
- Primes of the form 16*m^2 + 169, m=1,2,3,...at n=9A087862
- 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=20A109982
- Primes for which the weight as defined in A117078 is 9 and the gap as defined in A001223 is 8.at n=30A118922
- Where records occur in A118878.at n=19A119904
- Primes of the form p^3 + q^3 + r^3, where p, q and r are primes.at n=22A123597
- a(n) = 6*n^2 - 10*n + 5.at n=41A136392
- Primes of the form 24x^2+24xy+41y^2.at n=36A139995
- Primes of the form 33x^2+56y^2.at n=36A140040
- Primes of the form 2*3*5*7*k+89, k >= 0.at n=23A141866
- Primes congruent to 19 mod 29.at n=42A141995
- Primes congruent to 1 mod 31.at n=38A142005