9317
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11712
- Proper Divisor Sum (Aliquot Sum)
- 2395
- 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
- 7260
- Möbius Function
- 0
- Radical
- 77
- Omega Function (Ω)
- 4
- 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
- 153
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Numbers of the form 7^i*11^j.at n=13A003599
- Composite numbers whose prime factors contain no digits other than 1 and 7.at n=31A036307
- Numbers whose prime factors are in {5, 7, 11}.at n=37A036490
- Transformation of A036490: 5^a*7^b*11^c -> 5^a*7^floor((b+2)/2)*11^c.at n=37A036491
- Numbers ending with '7' that are the difference of two positive cubes.at n=43A038862
- Denominators of continued fraction convergents to sqrt(514).at n=7A041983
- a(1)=5; for n >= 2, if n = Product p_i^e_i, then a(n) = Product p_{i+3}^e_i.at n=53A045968
- Numbers n such that n | 12^n + 11^n + 10^n + 9^n + 8^n + 7^n + 6^n + 5^n + 4^n + 3^n + 2^n.at n=13A057290
- a(n) = (9n^2 + 9n + 4)/2.at n=45A062123
- n-th term in Recamán's sequence A005132 is divisible by n.at n=10A064568
- Value of remainder r (see A065052) at start of n-th interval between special points in Recamán's sequence A005132.at n=15A065054
- a(n) = (p^2 - p + 2)/2 for p = prime(n); number of squares modulo p^2.at n=32A072205
- Members of A000124 which are multiples of 11.at n=24A083511
- Numbers k such that the difference between the largest and the smallest prime divisor of k equals the number of prime divisors of k (counted with multiplicity).at n=44A086770
- A096780(A096780(n)).at n=16A096782
- Composite numbers whose exponents in their canonical factorization lie in the geometric progression 1, 3, 9, ...at n=11A102838
- Numbers n such that n does not divide the denominator of the n-th harmonic number nor the denominator of the n-th alternating harmonic number.at n=2A125581
- Numbers having exactly two distinct prime factors p, q with q = p+4.at n=28A143203
- Indices of 4's in A090822.at n=41A157107
- Numbers n with property that the largest proper divisor of n is a cube.at n=25A187104