3222
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7020
- Proper Divisor Sum (Aliquot Sum)
- 3798
- 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
- 1068
- Möbius Function
- 0
- Radical
- 1074
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 22
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- a(n) = n*(5*n - 1)/2.at n=36A005476
- Base-7 Armstrong or narcissistic numbers (written in base 10).at n=15A010350
- a(n)-th nonsquarefree is sum of first k nonsquarefrees for some k.at n=34A020644
- Number of 6's in all partitions of n.at n=31A024790
- 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 56.at n=8A031554
- Numbers using only digits 2 and 3.at n=22A032810
- Base-8 palindromes that start with 6.at n=12A043026
- Numbers whose base-7 representation contains exactly three 2's.at n=38A043403
- Numbers having three 2's in base 10.at n=29A043499
- Numbers n with property that every digit is a prime factor of n.at n=17A062239
- Least k such that k*11^n +/- 1 are twin primes.at n=24A064220
- Numbers k such that prime(k+3)-(k+3)*tau(k+3) = prime(k)-k*tau(k) where tau(k) = A000005(k) is the number of divisors of k.at n=25A067356
- Largest number without decimal digits equal to 1 whose product of digits gives n!.at n=2A068183
- 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=23A068190
- Four-digit numbers that do not resolve to 6174 under the Kaprekar map (see A151949).at n=18A069746
- Third differences of partition numbers A000041.at n=59A072380
- 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=37A073647
- Multiples of 6 with only prime digits (2, 3, 5 and 7).at n=12A077535
- Number of isomorphism classes of non-associative closed binary operations on a set of order n, listed by class size.at n=6A079174
- Replace n with concatenation of its prime factors in decreasing order.at n=23A084796