7199
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7536
- Proper Divisor Sum (Aliquot Sum)
- 337
- 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
- 6864
- Möbius Function
- 1
- Radical
- 7199
- 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
- 163
- 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
- Expansion of 1 / Product_{k>=1} (1-x^k)^(k+1).at n=12A005380
- a(n) = A027082(n, n+4).at n=8A027086
- a(n) = A027082(n, 2n-8).at n=8A027095
- 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 83.at n=30A031581
- Multiplicity of highest weight (or singular) vectors associated with character chi_93 of Monster module.at n=36A034481
- Denominators of continued fraction convergents to sqrt(43).at n=11A041073
- Denominators of continued fraction convergents to sqrt(367).at n=9A041695
- Numbers whose base-5 representation contains exactly three 2's and two 4's.at n=26A045291
- Let N = 23571113171923293137... the concatenation of primes; partition this number into minimal strings of composite numbers.at n=43A068663
- a(n) = A051201(n^2).at n=38A078163
- Row sums of triangle A052313, which is the matrix square of the triangle of circular binomial coefficients (A047996).at n=12A091714
- Numbers k such that abs(RSA-2048 - 10^k) is prime, where RSA-2048 is the 617 decimal digit number A391940(54).at n=8A113932
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1000-1000-1111-1000 pattern in any orientation.at n=11A147126
- 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, -1), (-1, -1, 0), (0, 0, 1), (0, 1, 0), (1, 0, 1)}.at n=7A151034
- a(n) = 18*n^2 - 1.at n=19A157910
- a(n) = 8*n^2 - 1.at n=29A157914
- a(n) = 50*n^2 - 1.at n=11A157919
- a(n) = 200*n - 1.at n=35A157955
- a(n) = 288*n - 1.at n=24A157997
- a(n) = 225*n - 1.at n=31A158227