7022
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10536
- Proper Divisor Sum (Aliquot Sum)
- 3514
- 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
- 3510
- Möbius Function
- 1
- Radical
- 7022
- 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
- 44
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = floor( n*(n-1)*(n-2)/25 ).at n=57A011907
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/25 ).at n=22A011935
- Numbers k such that the continued fraction for sqrt(k) has period 60.at n=32A020399
- a(n) = floor(Sum_{1<=i<j<=n} (sqrt(j)-sqrt(i))^2).at n=49A025196
- 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 82.at n=22A031580
- Denominators of continued fraction convergents to sqrt(387).at n=7A041735
- Denominators of continued fraction convergents to sqrt(796).at n=8A042535
- Numbers k such that k^256 + 1 is prime.at n=22A056995
- Expansion of (1-2*x^3)/(1-2*x-x^3+2*x^4).at n=13A057744
- a(n) = (9n^2 + 9n + 4)/2.at n=39A062123
- Number of partitions of n with positive rank.at n=34A064173
- Numbers k such that 2^k mod k = 2^k mod k^2.at n=23A068535
- Number of integers in {1, 2, ..., 2^n} that are coprime to n.at n=13A074933
- Main diagonal of array A082224.at n=42A082227
- Numbers k that are not powers of 2 such that 2^k mod k = 2^k mod k^2; or A068535 with powers of 2 excluded.at n=10A125773
- Where records occur in A127913.at n=29A129415
- Reversals of Lucas numbers (sorted).at n=17A140463
- a(n) = index of second occurrence of A161926(n) in A114381.at n=5A161927
- Number of partitions p of n such that (number of numbers of the form 5k + 4 in p) is a part of p.at n=35A241553
- Number of ways to place 3 points on a triangular grid of side n so that no three of them are vertices of an equilateral triangle with sides parallel to the grid.at n=6A243212