9118
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14112
- Proper Divisor Sum (Aliquot Sum)
- 4994
- 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
- 4416
- Möbius Function
- -1
- Radical
- 9118
- 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
- 153
- 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
- "DGK" (bracelet, element, unlabeled) transform of 2,2,2,2,...at n=17A032231
- Numbers k such that 75*2^k+1 is prime.at n=35A032387
- Number of ordered rooted trees with n non-root nodes and all outdegrees <= three.at n=10A036765
- Numbers n such that n | (sigma_5(n) - phi(n)^5).at n=18A055699
- Triangle associated with rooted trees with a degree constraint (A036765).at n=65A064580
- Composite numbers k such that sigma(k)*(phi(k) + 2) is a square.at n=20A065655
- Numbers k such that 1/(1/phi(k) + 1/phi(k+1) + 1/phi(k+2)) is an integer.at n=40A073543
- Expansion of (1-x)^(-1)/(1+x^2-x^3).at n=51A077888
- a(n) = (3*n+1)*(3*n+4).at n=31A085001
- Indices of primes in sequence defined by A(0) = 79, A(n) = 10*A(n-1) - 51 for n > 0.at n=9A101138
- a(n) = (72 - 258*n + 601*n^2 - 264*n^3 + 33*n^4)/4.at n=8A108642
- Number of digits in the decimal expansion of the number of partitions of 2^n.at n=26A129490
- Triangle read by rows: T(n,k) = the number of Dyck paths of semilength n with k UUUU's.at n=31A135305
- Integers N such that the digits of N occur starting at the N-th place in N^N.at n=5A159003
- G.f.: A(x) = exp( 2*Sum_{n>=1} 2^[A007814(n)^2] * x^n/n ), where A007814(n) = exponent of highest power of 2 dividing n.at n=15A162580
- Meandric numbers for a river crossing up to 7 parallel roads at n points.at n=11A208453
- Natural log radix 10 grafting integers.at n=3A231914
- a(n) = Sum_{i=1..n} (-1)^(i+1) prime(i)^3.at n=9A242188
- a(n) = A036765(n-1) if n>0, with a(0) = 1.at n=11A246555
- Number of n X 6 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=6A281203