10193
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10194
- 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
- 10192
- Möbius Function
- -1
- Radical
- 10193
- 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
- 34
- 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
- 1252
- 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 59.at n=13A020398
- Primes of the form k^2 - 8.at n=22A028886
- Least k such that A033178(k)=n.at n=43A038004
- Primes remaining prime if any digit is deleted (zeros allowed).at n=29A051362
- Primes p such that a pure prime power occurs between p and the next prime.at n=47A053607
- Largest prime below prime(n)^2 (A001248).at n=25A054270
- Primes p whose period of reciprocal equals (p-1)/7.at n=11A056212
- n*10^3-1, n*10^3-3, n*10^3-7 and n*10^3-9 are all prime.at n=8A064977
- Primes in A058633.at n=37A080822
- Smallest prime which leaves n distinct primes when a suitable digit is deleted.at n=4A089768
- a(n) is the smallest integer m such that A039995(m)=n.at n=14A094535
- Values of k such that floor(k*tanh(Pi)) = floor((k+1) tanh(Pi)).at n=37A096613
- Duplicate of A056212.at n=11A098674
- Primes from merging of 5 successive digits in decimal expansion of exp(2).at n=23A105001
- Table read by rows: rows give successive prime sextets of form k, k+30, k+60, k+90, k+120, k+150.at n=45A123085
- a(n) = ((1 + 7*sqrt(2))^n + (1 - 7*sqrt(2))^n)/2.at n=4A125820
- Primes of the form 8x^2+105y^2.at n=39A139988
- Primes of the form 30x^2+30xy+53y^2.at n=36A140025
- Primes of the form 8x^2+8xy+233y^2.at n=38A140033
- Primes congruent to 25 mod 31.at n=40A142029