16223
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16224
- 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
- 16222
- Möbius Function
- -1
- Radical
- 16223
- 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
- 66
- 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
- 1885
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes expressible as the sum of (at least two) consecutive primes in at least 3 ways.at n=30A067379
- Subminimal numbers, from minimal numbers by analogy with subfactorials.at n=49A079717
- Primes of the form 6n^2 - 1.at n=20A090686
- Smallest prime of the form (prime(n)*prime(n+1)+q)/2 for some integer n and some prime q.at n=39A100557
- Largest prime p such that the sum of n consecutive primes plus p is equal to (n+1)^3.at n=25A100572
- Values of A134204(n) for n in A133242.at n=21A133243
- Primes of the form 210k + 53.at n=37A140851
- Primes congruent to 5 mod 53.at n=34A142535
- Primes congruent to 57 mod 59.at n=31A142784
- Primes congruent to 58 mod 61.at n=27A142856
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (0, 0, 1), (0, 1, -1), (0, 1, 1), (1, 0, 0)}.at n=7A151101
- a(n) = 676*n - 1.at n=23A158393
- a(n) = 24*n^2 - 1.at n=25A158544
- Primes p such that p + d and p - d are primes, where d is the sum of floors of square roots of the digits of p.at n=38A179634
- Supersafe primes.at n=30A181841
- Primes p such that 12*p^2-1 and 16*p^3-1 are also primes.at n=29A193051
- Triangle read by rows: T(n,k) is the k-th generalized Eulerian number of order n and degree 4, n >= 1.at n=47A211234
- a(n) = n^3 - 2*n^2 - 1.at n=25A214731
- Primes of the form n^3-2*n^2-1.at n=7A214886
- Numbers n such that (17^n - 2^n)/15 is prime.at n=4A225807