6222
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 13392
- Proper Divisor Sum (Aliquot Sum)
- 7170
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1920
- Möbius Function
- 1
- Radical
- 6222
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 36
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of partitions satisfying (cn(1,5) = cn(4,5) and cn(1,5) <= cn(2,5) and cn(1,5) <= cn(3,5)).at n=47A036814
- Numbers having three 2's in base 10.at n=32A043499
- Dimensions of homogeneous subspaces of shuffle algebra over 6-letter alphabet (see A058766 for 2-letter case).at n=5A058821
- Numbers with at least 2 distinct digits and whose "rotations" (including the number itself) are multiples of these digits; repeated digits allowed but digit 0 not allowed.at n=10A066484
- a(n) = M(2^n), where M(n) is Mertens's function, A002321.at n=29A084236
- Successively larger 3-ball ground-state site swaps of A084501 in concatenated decimal notation.at n=27A084502
- Successively larger 3-ball indecomposable ground-state site swaps of A084511 in concatenated decimal notation.at n=12A084512
- Successively larger 3-ball 'prime' ground-state site swaps of A084521 in concatenated decimal notation.at n=11A084522
- Let m = number of ways of partitioning n into parts using all the parts of a subset of {1, 2, ..., n-1} whose sum of all parts of a subset is less than n; a(n) gives number of different subsets of {1, 2, ..., n-1} whose m is 0.at n=49A088528
- Slowest increasing sequence which self-describes its succession of odd and even digits.at n=36A105771
- Index of first occurrence of n-th prime in A001203, the continued fraction for Pi.at n=21A107892
- Numbers that cannot be expressed as a sum of 2 triangular numbers and a power of 2.at n=0A112665
- Numbers n such that the numerator of BernoulliB[n] is divisible by 691.at n=22A119864
- Connell (3,2)-sum sequence (partial sums of the (3,2)-Connell sequence).at n=67A122794
- 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, 0, 0), (-1, 0, 1), (0, -1, 0), (0, 1, 1), (1, 1, -1)}.at n=8A148978
- a(n) = n^5-n^4-n^3-n^2-n.at n=6A152017
- a(n) is the n-th J_12-prime (Josephus_12 prime).at n=7A163792
- Number of nX4 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 2 neighbors with the same value.at n=7A164756
- First result not divisible by 4 when iterating k -> k+tau(k) from 2(2n-1)^2.at n=27A165495
- Multiples of 17 whose reversal + 1 is also a multiple of 17.at n=18A166391