7985
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9588
- Proper Divisor Sum (Aliquot Sum)
- 1603
- 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
- 6384
- Möbius Function
- 1
- Radical
- 7985
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 52
- 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
- Successive states of the Rule 110 cellular automaton defined by 000, 001, 010, 011, ..., 111 -> 0,1,1,1,0,1,1,0 when started with a single ON cell.at n=12A006978
- Numbers k such that the continued fraction for sqrt(k) has period 27.at n=34A020366
- Fibonacci sequence beginning 0, 5.at n=17A022088
- Surround numbers of a length 2n zig-zag.at n=24A060641
- Numbers k such that (72*10^(k-1) - 27)/9 is a plateau prime.at n=8A082716
- Main diagonal of A101858.at n=46A101863
- Semiprimes in A103374.at n=16A103394
- Sum of two consecutive squares of Lucas numbers (A001254).at n=8A106729
- A number triangle of sums of binomial products.at n=70A110541
- a(n) = 14*n^3 - 30*n^2 + 24*n - 7.at n=8A155883
- a(n) = 242*n - 1.at n=32A157961
- a(n) = 66*n^2 - 1.at n=10A158693
- Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=2, k=-1 and l=0.at n=9A176856
- Numerators of A178381(4*n+1)/A178381(4*n).at n=8A179131
- Numbers k such that sum_{i=1..k} d(i)^2 is a square c^2, where d(i) is the number of divisors of i.at n=13A186429
- Monotonic ordering of set S generated by these rules: if x and y are in S then x^2 + y^2 is in S, and 1 is in S.at n=46A192476
- a(n) = 6*11^n - 1.at n=3A199024
- Number of 4-divided binary words of length n.at n=13A210321
- Numbers k such that 13^k + k^13 + 1 is prime.at n=3A216421
- Rounded area of distinct right triangles appearing in the unit golden spiral.at n=18A221212