12233
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13188
- Proper Divisor Sum (Aliquot Sum)
- 955
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11280
- Möbius Function
- 1
- Radical
- 12233
- 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
- 125
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 45.at n=29A020384
- Interprimes (A024675) which are of the form s*prime, s=13.at n=7A075288
- a(1)=7; a(n),a(n+1) are smallest > a(n-1) such that a(n-1)^2+a(n)^2=a(n+1)^2.at n=10A077035
- A089450 indexed by A000040.at n=6A089525
- 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=25A096299
- Sum of n-th prime squared and n-th perfect square.at n=27A106587
- 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=25A110382
- n = Sum_{b} c_b*b! in the factorial base rewritten by c_b-fold repetition of b, b=1,2,3,....at n=16A111095
- Row sums of a Pascal-Fibonacci triangle.at n=12A114199
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n having k ascents of length 1.at n=46A128749
- Sorted list of strings that can be obtained by starting with 123 and repeatedly doubling any substring in place.at n=9A135475
- 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, 1), (-1, 0, 0), (1, -1, -1), (1, 1, 0)}.at n=10A148521
- Number of (n+1) X (n+1) -3..3 symmetric matrices with every 2 X 2 subblock having sum zero and one or three distinct values.at n=10A211324
- Elements of the planar rooted trees sub-operad PRT of TN generated by 01.at n=12A231869
- Triangle read by rows: T(n,k) is the number of weighted lattice paths B(n) having k uudd strings.at n=21A247297
- Number of weighted lattice paths B(n) having no uudd strings.at n=13A247298
- Number of length 2+2 0..n arrays with the sum of medians of adjacent triples multiplied by some arrangement of +-1 equal to zero.at n=11A253130
- G.f. = b(2)^2*b(4)/(x^5+x^4-x^3-x^2-x+1), where b(k) = (1-x^k)/(1-x).at n=16A266339
- Numerator of the n-th partial sum of the reciprocals of the successive prime gaps.at n=47A274827
- Numbers n such that A277118(n) = 17.at n=7A277119