12223
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12960
- Proper Divisor Sum (Aliquot Sum)
- 737
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11488
- Möbius Function
- 1
- Radical
- 12223
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 94
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = Sum_{j=0..n} j*Fibonacci(j).at n=14A014286
- Positive numbers having the same set of digits in base 6 and base 10.at n=35A037437
- Sums of 12 distinct powers of 2.at n=18A038463
- Floor(average of first n Fibonacci numbers).at n=25A078620
- Numbers n such that p(n),p(n)+6,p(n)+12,p(n)+18 are consecutive primes and p(n)=6*k+1 for some k, where p(n) denotes n-th prime.at n=23A090838
- Number of compositions (ordered partitions) of n such that some part is repeated consecutively 2 times and no part is repeated consecutively more than 2 times.at n=14A091616
- List of strings in lexicographic order with property that for the 2^(m-1) strings of length m, the first entry is 1, the second distinct entry (reading from left to right) is 2, the third distinct entry is 3, etc.at n=24A096299
- Triangle read by rows: T(n,1) = 1, T(n,n) = n and for 1 < k < n: T(n,k) = T(n-1,k-1) + 2*T(n-1,k).at n=60A105728
- Numbers which are sum of distinct unary numbers (containing only ones), i.e., numbers which are sum of distinct numbers of the form (10^k - 1)/9.at n=24A110382
- sigma(n) plus the n-th prime gives a square.at n=44A114082
- Sorted list of strings that can be obtained by starting with 123 and repeatedly doubling any substring in place.at n=8A135475
- Semiprimes whose factors are decimal palindromes when concatenated, omitting multiples of primes less than 11.at n=32A144719
- Trajectory of 6 under iteration of the map k -> A087712(k).at n=6A144760
- Trajectory of 10 under iteration of the map k -> A087712(k).at n=8A144814
- a(n) = 12*n^2 - 2*n - 1.at n=32A185918
- Numbers of rank 10 in the poset of lunar numbers.at n=54A191752
- Put the natural numbers together without spaces and read them five at a time advancing one space each time.at n=32A193493
- Numbers k such that 2^k + 35 is prime.at n=25A220077
- Elements of the planar rooted trees sub-operad PRT of TN generated by 01.at n=10A231869
- a(n) = Sum_{k=0..n} (-1)^k*C(n, k)^2*C(2*k, k), where C(n, k) denotes the binomial coefficient n!/(k!*(n-k)!).at n=8A244973