7398
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 16560
- Proper Divisor Sum (Aliquot Sum)
- 9162
- 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
- 2448
- Möbius Function
- 0
- Radical
- 822
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 70
- 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
- Maximal kissing number of n-dimensional laminated lattice.at n=18A002336
- a(n) = smallest number k such that Product_{i=1..k} prime(i)/(prime(i)-1) > n.at n=20A005579
- Number of points on surface of octahedron; also coordination sequence for cubic lattice: a(0) = 1; for n > 0, a(n) = 4n^2 + 2.at n=43A005899
- Theta series of laminated lattice LAMBDA_18.at n=2A023940
- a(n) = Sum_{k=0..m} (k+1) * A026009(n, m-k) where m = floor(n/2)+1.at n=12A027292
- 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 86.at n=0A031584
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 86.at n=1A031764
- Numbers k such that A102489(k) is divisible by k.at n=28A032563
- T(n,n+1), array T given by A047020.at n=8A047026
- a(n) = Sum_{k=1..n} lcm(n,k).at n=26A051193
- 23-gonal numbers: a(n) = n(21n-19)/2.at n=27A051875
- a(n) = |{m : multiplicative order of 7 mod m=n}|.at n=41A059889
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 97 ).at n=19A063370
- a(n) = (2*n - 1)*(3*n^2 - 3*n + 2)/2.at n=13A063491
- a(n) = 3^n mod n^3.at n=20A066607
- Expansion of (1 + x)*(1 - x + x^2)/((1 - x)^4*(1 + x + x^2)).at n=39A070333
- Numbers k such that gcd(k, reverse(k)) = 27 = 3^3, where reverse(x) = A004086(x).at n=17A072016
- Binomial transform of (1,0,1,0,1,0,2,0,2,0,2,0,...).at n=13A084636
- a(n) = A088760(n+1)/A088760(n).at n=11A088761
- Number of partitions of n such that the set of parts has an even number of elements.at n=35A092306