7994
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13728
- Proper Divisor Sum (Aliquot Sum)
- 5734
- 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
- 3420
- Möbius Function
- -1
- Radical
- 7994
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 52
- 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
- a(n) = n^3 - floor( n/3 ).at n=20A002901
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite AET = AlPO4-8 [Al36P36O144] starting with a T2 atom.at n=5A018950
- Sum of transposition distances (divided by 2) present in the permutation produced by inverses of 1..(p-1) computed in Zp, where p is n-th prime.at n=47A051864
- Numbers k such that 80*R_k + 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=20A056694
- Numbers k for which the sums of prime factors (ignoring multiplicity) of sigma(k) and phi(k) are equal but the sets of prime factors of sigma and phi are different.at n=26A081378
- Numbers k such that (2*k)!/(2*k!)-1 is prime.at n=18A091907
- Numbers n such that p(5n) is prime, where p(n) is the number of partitions of n.at n=23A114166
- Numbers whose fifth powers are closer to cubic numbers than square numbers.at n=4A117594
- Site series for second parallel moment of Kagome lattice.at n=7A120551
- a(n) = [x^n] G(x)^(2^n)/2^n where G(x) satisfies: [x^(n+1)] G(x)^(2^n) = [x^n] G(x)^(2^n) for n>=0 and G(2x) is the g.f. of A134084.at n=5A134088
- Numbers k that are multiples of the reversal of k-1.at n=7A160945
- Number of reduced words of length n in the Weyl group B_14.at n=5A161862
- Number of reduced words of length n in the Weyl group D_14.at n=5A162301
- Arises in a refined modular approach to the Diophantine equation x^2+y^62=z^3.at n=8A172408
- Numbers n such that n^5 and a cube are between consecutive squares.at n=12A173341
- Smallest k>0 such that q=p+6k, 6kp+q, 6kp-q, 6kq+p and 6kq-p are simultaneously prime, or 0 if no such k exists, where p=A000040(n) is the n-th prime.at n=68A180476
- Number of 2 X 2 matrices having all terms in {1,...,n} and determinant >= n.at n=11A211061
- Number of (n+1)X(n+1) -6..6 symmetric matrices with every 2X2 subblock having sum zero and three or four distinct values.at n=3A211258
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and -1<=2w+x+y<=1.at n=37A211620
- a(n) = n*(21*n-17)/2.at n=28A226491