7174
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11448
- Proper Divisor Sum (Aliquot Sum)
- 4274
- 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
- 3360
- Möbius Function
- -1
- Radical
- 7174
- 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
- 119
- 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
- Solutions of a fifth-order probability difference equation.at n=18A001949
- Maximal number of pieces obtained by slicing a torus (or a bagel) with n cuts: (n^3 + 3*n^2 + 8*n)/6 (n > 0).at n=34A003600
- Define the generalized Pisot sequence T(a(0),a(1)) by: a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n). This is T(16,32).at n=9A018923
- 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 84.at n=11A031582
- OR-convolution of squares A000290 with themselves.at n=21A033459
- Multiplicity of highest weight (or singular) vectors associated with character chi_144 of Monster module.at n=39A034532
- Sum of the first n palindromes (A002113).at n=45A046489
- Numbers n such that 197*2^n-1 is prime.at n=23A050850
- Least nontrivial multiple of the n-th prime beginning with 7.at n=46A078291
- Number of increasing subsequences that can be made from the sequence of successive primes.at n=21A091956
- G.f.: (1-2*x^2)/(1-x-2*x^2-x^3).at n=13A108122
- a(n)= +a(n-3) +2*a(n-6) +a(n-9).at n=35A109531
- Table T(n,k) of number of elements of Weyl group of type D of order 2^{n-1} n! such that a reduced word uses exactly n-k distinct simple reflections 0 <= k <= n, n>=1.at n=49A112226
- Multiples of 17 containing a 17 in their decimal representation.at n=15A121037
- Expansion of psi(-x^3) / phi(-x) in powers of x where psi(), phi() are Ramanujan theta functions.at n=22A132218
- Largest integer terms forming a self-convolution square-root of a sequence (A132833) such that: A132833(n) <= 3*A132833(n-1) for n>0 with A132833(0)=1.at n=10A132834
- Nonprimes in the triangle A141020.at n=22A141031
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (1, 0, -1), (1, 0, 0), (1, 1, 1)}.at n=7A150495
- Number of binary strings of length n with no substrings equal to 000, 001, or 010.at n=22A164316
- Number of Hamiltonian cycles in the generalized Petersen Graph P(n,2).at n=31A195197