7118
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10680
- Proper Divisor Sum (Aliquot Sum)
- 3562
- 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
- 3558
- Möbius Function
- 1
- Radical
- 7118
- 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
- 49
- 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
- yes
- Odd
- no
Appears in sequences
- Bosonic string states.at n=34A005308
- Number of 1's in n-th term of A022482.at n=31A022484
- 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=5A031582
- Molien series for 3-D group R2+R3.at n=39A037242
- a(n) is the smallest integer k such that the n-th (forward) difference of the partition sequence A000041 is positive from k onwards.at n=22A119712
- Numbers which are the sum of three cubes of distinct primes.at n=33A138854
- Number of line segments connecting exactly 8 points in an n x n grid of points.at n=31A177724
- Where A184593, the difference between 5n and A101306(n), becomes a new record in either direction.at n=48A184594
- Number of (w,x,y,z) with all terms in {1,...,n} and w+x=|x-y|+|y-z|.at n=24A212676
- The curvature of circles (rounded to nearest integer), successively inscribed toward the 45-degree angle of a 45-45-90 triangle, starting with a unit circle.at n=11A228765
- Permutation of natural numbers: a(n) = A244319(A064216(n)).at n=41A245609
- Numbers n such that A002496(n) mod A002496(n-1) is a perfect square.at n=29A247592
- Numbers k such that A248891(k) = 2.at n=19A248902
- Partial sums of A253088.at n=22A255048
- 4-untouchable numbers.at n=34A284156
- Expansion of Product_{k>=0} (1 + x^(4*k+1))^(4*k+1).at n=37A285288
- Triangle read by rows: T(n,m) (n >= m >= 1) = number of regions (or cells) formed by drawing the line segments connecting any two of the 2*(m+n) perimeter points of an m X n grid of squares.at n=47A331452
- Numbers k such that binomial(2*k,k) is divisible by (k+1)^2*(k+2)^2.at n=38A389396
- Triangle read by rows: T(n,k) is the number of free polyforms consisting of k unit square cells and n-k isosceles right triangular cells whose short sides have unit length. Cells are joined along sides of equal lengths.at n=32A391193