7115
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8544
- Proper Divisor Sum (Aliquot Sum)
- 1429
- 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
- 5688
- Möbius Function
- 1
- Radical
- 7115
- 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
- 57
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BRE = Brewsterite (Sr,Ba)2[Al4Si12O32].10H2O starting with a T3 atom.at n=12A019084
- Interprimes which are of the form s*prime, s=5.at n=17A075280
- Positions of check bits in code in A075934.at n=38A075936
- Least k such that the distance from k^2 to closest prime = n or zero if no k exists.at n=53A079666
- Multiples of 5 in which there is no common digit in successive terms.at n=22A083493
- Expansion of -(1-x-2*x^2+11*x^4-3*x^3) / ((x-1)*(x+1)*(x^2-3*x+1)*(1+x^2)).at n=10A109787
- Semiprimes for which both the sum and the product of the digits is also a semiprime.at n=28A118690
- Semiprimes which are divisible by their multiplicative digital root.at n=45A118696
- Coefficient of x in the reduction by x^2 -> x+1 of the polynomial p(n,x) defined at Comments.at n=15A192982
- Number of n X 2 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,1,2,0,4 for x=0,1,2,3,4.at n=9A196906
- Number of -n..n arrays x(0..3) of 4 elements with zero sum and no element more than one greater than the previous.at n=28A199848
- Number of lattice points in the closed region bounded by the graphs of y = (5/6)*x^2, x = n, and y = 0, excluding points on the x-axis.at n=28A227347
- Number of partitions of n having population standard deviation < 2.at n=39A238658
- Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime.at n=5A251943
- Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime.at n=0A251948
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime.at n=15A251950
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime.at n=20A251950
- Number of times an odious number is encountered when iterating from 2^(n+1)-2 to (2^n)-2 with the map x -> x - (number of runs in binary representation of x).at n=17A255064
- Expansion of f(-x^3, -x^7) * f(x^4, x^6) / psi(-x)^2 in powers of x where psi(), f(,) are Ramanujan theta functions.at n=23A259393
- Expansion of Product_{k>=1} 1/(1 - x^k)^(k*(5*k-3)/2).at n=8A278769