10343
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10344
- 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
- 10342
- Möbius Function
- -1
- Radical
- 10343
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1270
- 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 76.at n=28A020415
- Primes that remain prime through 3 iterations of function f(x) = 4x + 9.at n=28A023282
- a(n) = (d(n)-r(n))/5, where d = A026049 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=49A026051
- Primes resulting from procedure described in A048393.at n=10A048394
- Fourth term of weak prime quintets: p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m).at n=23A054826
- Primes which can be expressed as concatenation of cubes.at n=24A066592
- Class 6- primes (for definition see A005109).at n=24A081425
- Integers m such that the base-10 digit concatenation 2//m//3//m//5//m...//prime(49)//m//prime(50) is prime.at n=22A084048
- Primes which when added to their own rotation yield a prime.at n=38A086002
- n^2-79*n+1601 as n runs through the lucky numbers.at n=30A087867
- a(n) = r-th prime of the form (p-q)/(q-r) with r=prime(n+1), q=prime(n+2), and primes p > q.at n=41A089577
- Primes of the form a^4 + b^3 with b>0.at n=22A100271
- Primes of the form 47*k + 3.at n=30A100494
- Primes with maximal digit = 4.at n=37A106098
- Numbers n such that (24^n - 1)/23 is prime.at n=7A127998
- Primes of the form 210k + 53.at n=26A140851
- Primes congruent to 19 mod 29.at n=43A141995
- Primes congruent to 20 mod 31.at n=40A142024
- Primes congruent to 20 mod 37.at n=36A142129
- Primes congruent to 11 mod 41.at n=31A142208