6622
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 12672
- Proper Divisor Sum (Aliquot Sum)
- 6050
- 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
- 2520
- Möbius Function
- 1
- Radical
- 6622
- 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
- 168
- 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
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2).at n=41A005993
- a(n) = n*(n+1)*(2*n+1)/3.at n=21A006331
- a(n) = floor(n*(n-1)*(n-2)/12).at n=44A011894
- Expansion of 1/((1-x)(1-5x)(1-9x)(1-11x)).at n=3A023540
- a(n) = 1*(n) + 2*(n-1) + 3*(n-2) + ... + (n+1-k)*k, where k = floor((n+1)/2).at n=41A023855
- a(n) = 1*(n+1-1) + 2*(n+1-2) + ... + k*(n+1-k), where k = floor((n+1)/2).at n=40A023856
- 7 times triangular numbers: 7*n*(n+1)/2.at n=43A024966
- a(n) = T(2n, n-2), T given by A026758.at n=5A026761
- Numbers whose base-5 representation contains exactly three 2's and two 4's.at n=22A045291
- Positive numbers whose product of digits is 9 times their sum.at n=23A062041
- a(n) = lcm(n, n+1, n+2)/6.at n=41A067046
- Integers that are Rhonda numbers to base 8.at n=2A100970
- a(n) = number of distinct values of Product_{i=1..r} x_i!*i!^x_i, where (x_1, ..., x_r) is an r-tuple of nonnegative integers with Sum_{i=1..r} i*x_i = n.at n=40A102465
- Sum of primes q with prime(n) < q < 2*prime(n).at n=36A108313
- Larger members of primitive phi-amicable pairs.at n=10A121249
- 1/12 of product of three numbers: n-th prime, previous and following number.at n=12A127921
- Numerator of (n-1)*n*(n+1)/12.at n=42A138190
- Sum of all numbers from n to sigma(n).at n=47A162462
- Number of binary strings of length n with no substrings equal to 0001, 0110 or 1100.at n=17A164480
- Numbers n with property that n^2 is a sum of some 70 successive primes.at n=6A166256