5222
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8976
- Proper Divisor Sum (Aliquot Sum)
- 3754
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2232
- Möbius Function
- -1
- Radical
- 5222
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 54
- 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 with no even part repeated; partitions of n in which no parts are multiples of 4.at n=35A001935
- Coordination sequence T2 for Coesite.at n=38A008268
- Quadruples of different integers from [ 2,n ] with no common factors between triples.at n=22A015629
- Numerators of continued fraction convergents to sqrt(520).at n=4A041994
- a(n)=(s(n)+2)/9, where s(n)=n-th base 9 palindrome that starts with 7.at n=33A043078
- Numbers having three 2's in base 10.at n=31A043499
- Numbers whose base-4 representation contains exactly four 1's and two 2's.at n=26A045107
- a(n) = T(2n-1,n), array T given by A048201.at n=36A048208
- Number of cyclic subgroups of the group S_n X S_n (where S_n is the symmetric group of degree n).at n=4A063182
- Largest number whose digit product equals n; a(n)=0 if no such number exists, e.g., when n has a prime factor larger than 7; no digit=1 is permitted to avoid an infinite number of solutions.at n=39A068190
- Numbers using only the digits 2 and 5, that are both curved and straight.at n=22A072961
- In decimal representation of n, replace composite digits (4, 6, 8 and 9) with their concatenated prime factorizations (22, 23, 222 and 33).at n=57A073647
- Number of conjugacy classes in the symmetric group S_n with distinct cardinality.at n=34A073906
- Multiples of 7 using only prime digits (2, 3, 5 and 7).at n=30A077536
- Number of partitions of 2n+1 in which no parts are multiples of 4.at n=17A081056
- Replace n with concatenation of its prime factors in decreasing order.at n=39A084796
- Greatest number formed by concatenating prime factors of n in base 10.at n=39A084797
- a(0)=1; a(n) = sigma_1(n) + sigma_2(n) + sigma_3(n).at n=17A092347
- Largest value in trajectory of n under the juggler map of A094683.at n=45A094716
- Modified juggler map: see A095396. Largest value in trajectory of started n under the juggler map of A095396.at n=44A095397