9426
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18864
- Proper Divisor Sum (Aliquot Sum)
- 9438
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3140
- Möbius Function
- -1
- Radical
- 9426
- 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
- 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 96.at n=12A031594
- Numbers whose set of base-8 digits is {2,3}.at n=34A032808
- Number of partitions satisfying (cn(0,5) <= cn(1,5) = cn(4,5) and cn(1,5) <= cn(2,5) and cn(1,5) <= cn(3,5)).at n=54A036819
- Base-8 palindromes that start with 2.at n=37A043022
- Numbers having four 2's in base 8.at n=20A043432
- Numbers k such that k*2^k - (k-1) is prime.at n=18A046847
- First differences are A005563.at n=29A047732
- McKay-Thompson series of class 9a for the Monster group.at n=8A058092
- Number of T_0-tricoverings of an n-set.at n=5A060070
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 83 ).at n=33A063356
- Maximal troughs in decimal expansions of Pi: positions of troughs equal to 8.at n=14A105276
- a(n)=sqrt(A127856(n)).at n=7A127857
- Positive integers n such that r(n^2)=r(n)^2, where r is the cyclic replacement map of the digits d of n in base 12, that is, d->d+1 if d<11 and d->0 if d=11.at n=3A127858
- Numbers k such that the numerator of the Bernoulli number B(2k) ends with the digits 691.at n=36A132184
- Numbers n such that primorial(n)/2 + 16 is prime.at n=26A139443
- a(n)=(n^4-n^3-n^2-n)/2.at n=12A171129
- a(n) = (1/11) * (5*12^n + 6).at n=4A173535
- Joint-rank array of the numbers j*e^(i-1), read by antidiagonals.at n=53A182833
- Number of length n 1..(3+2) arrays with no leading or trailing partial sum equal to a prime and no consecutive values equal.at n=15A254213
- Array read by antidiagonals: A(n,k) is the number of T_0 n-regular set-systems on a k-set.at n=39A331039