2722
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4086
- Proper Divisor Sum (Aliquot Sum)
- 1364
- 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
- 1360
- Möbius Function
- 1
- Radical
- 2722
- 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
- 53
- Smith Number
- yes
- 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
- Numbers k such that phi(2k+1) < phi(2k).at n=36A001837
- Coordination sequence T2 for Zeolite Code AFS.at n=40A008024
- Coordination sequence T2 for Zeolite Code BOG.at n=37A008050
- Coordination sequence T1 for Zeolite Code CHA.at n=40A008066
- Coordination sequence T2 for Zeolite Code EAB and OFF.at n=38A008083
- Coordination sequence T2 for Zeolite Code ERI.at n=38A008094
- Numbers k such that the continued fraction for sqrt(k) has period 32.at n=40A020371
- a(n) = [ Sum{(log(j)-log(i))^3} ], 2 <= i < j <= n.at n=47A025207
- a(n) = (d(n)-r(n))/2, where d = A026046 and r is the periodic sequence with fundamental period (0,1,0,1).at n=21A026047
- Size of lexicographic code of length n, Hamming distance 10 and weight 10.at n=32A031502
- 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 52.at n=1A031550
- a(n) = floor(5*n^2/2).at n=33A032526
- Digit sum of 'even' number equals digit sum of 'sum' and 'juxtaposition' of its prime factors (counted with multiplicity).at n=28A036926
- Numbers having three 2's in base 10.at n=26A043499
- Numbers whose base-2 representation has exactly 10 runs.at n=32A043577
- a(n) = (s(n)-1)/2, where s(n) is the n-th number whose base-2 representation has exactly 11 runs.at n=36A043691
- Numbers n such that number of runs in the base 2 representation of n is congruent to 0 mod 10.at n=32A043763
- Numbers k such that string 5,4 occurs in the base 9 representation of k but not of k-1.at n=37A044300
- Numbers n such that string 2,2 occurs in the base 10 representation of n but not of n-1.at n=27A044354
- Numbers n such that string 5,4 occurs in the base 9 representation of n but not of n+1.at n=37A044681