12333
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 16448
- Proper Divisor Sum (Aliquot Sum)
- 4115
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8220
- Möbius Function
- 1
- Radical
- 12333
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 37
- 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
- Positive numbers k such that k and 2*k are anagrams in base 4 (written in base 4).at n=25A023059
- a(n) = 1*t(n) + 2*t(n-1) + ...+ k*t(n+1-k), where k=floor((n+1)/2) and t is A001950 (upper Wythoff sequence).at n=36A023867
- Expansion of 1/((1-4x)(1-6x)(1-11x)(1-12x)).at n=3A028144
- Number of achiral triangular n-ominoes (n-iamonds) (holes are allowed).at n=21A030223
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 74.at n=25A031572
- Shifts left 2 places under "BGK" (reversible, element, unlabeled) transform.at n=18A032067
- Numbers having four 3's in base 6.at n=31A043384
- RATS: Reverse Add Then Sort the digits applied to previous term, starting with 3.at n=10A066710
- RATS: Reverse Add Then Sort the digits applied to previous term, starting with 3.at n=18A066710
- RATS: Reverse Add Then Sort the digits applied to previous term, starting with 3.at n=26A066710
- RATS: Reverse Add Then Sort the digits applied to previous term, starting with 3.at n=34A066710
- RATS: Reverse Add Then Sort the digits applied to previous term, starting with 3.at n=42A066710
- 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=27A096299
- 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=27A110382
- n = Sum_{b} c_b*b! in the factorial base rewritten by c_b-fold repetition of b, b=1,2,3,....at n=20A111095
- Sorted list of strings that can be obtained by starting with 123 and repeatedly doubling any substring in place.at n=11A135475
- Numbers in cycles of RATS sequences.at n=17A161596
- Triangular array: the fission of (p(n,x)) by (q(n,x)), where p(n,x)=sum{F(k+1)*x^(n-k) : 0<=k<=n}, where F=A000045 (Fibonacci numbers) and q(n,x)=(x+1)^n.at n=51A193997
- Mirror of the triangle A193997.at n=48A193998
- The number of permutations of length n sortable by 2 reversals.at n=17A228396