7223
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7488
- Proper Divisor Sum (Aliquot Sum)
- 265
- 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
- 6960
- Möbius Function
- 1
- Radical
- 7223
- 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
- 70
- 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
- no
- Odd
- yes
Appears in sequences
- Representation as a sum of squares requires n squares with greedy algorithm.at n=6A006892
- a(n) = n*(15*n + 1)/2.at n=31A022273
- Fibonacci sequence beginning 0, 31.at n=13A022365
- 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 83.at n=34A031581
- Numbers k > 1 such that k mod ord2(k) is even, where ord2(k) is the order of 2 mod k.at n=10A036260
- Base-6 palindromes that start with 5.at n=34A043014
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 8 (most significant digit on right).at n=18A061937
- Numbers k such that 10*k-1, 10*k-3, 10*k-7 and 10*k-9 are all prime.at n=29A064975
- Numbers k such that [A070080(k), A070081(k), A070082(k)] is an obtuse integer triangle with integer area.at n=35A070147
- a(n) = 4*n^2 + 4*n - 1.at n=41A073577
- Least nontrivial multiple of the n-th prime beginning with 7.at n=50A078291
- Denominator of (prime(n)+1)*(prime(n+1)+1)/(4*(prime(n)*prime(n+1)+1)).at n=38A079082
- Positions of 4's in A038800 with offset 1.at n=30A115095
- Least inverse of A115247, or -1 if no inverse exists.at n=16A115250
- a(n) = sqrt(A137880(n)).at n=6A137881
- Prime terms multiplied by Fibonacci terms (omitting first two terms of Fibonacci sequence).at n=10A160190
- The A161671(n)-th partial sum of A161671.at n=28A161778
- a(n) = 20*n^2 + 3.at n=18A167573
- Upper Beatty array of sqrt(2).at n=48A182638
- Number of nonempty subsets of {1, 2, ..., n} with <=5 pairwise coprime elements.at n=26A187266