9184
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 21168
- Proper Divisor Sum (Aliquot Sum)
- 11984
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 574
- Omega Function (Ω)
- 7
- 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
- 47
- Smith Number
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- arctanh(sec(x)*arcsin(x))=x+6/3!*x^3+148/5!*x^5+9184/7!*x^7...at n=3A012791
- Expansion of e.g.f. log(cos(x) + arcsin(x)).at n=7A013010
- tan(tanh(x)+arctan(x))=2*x+12/3!*x^3+232/5!*x^5+9184/7!*x^7...at n=3A013143
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/4 of the elements are <= (n-4)/2.at n=22A048064
- a(n) is the number of numbers between 1 and 2^m with m-n prime factors (counted with multiplicity), for m sufficiently large.at n=11A052130
- Triangle T(n,k) of number of digraphs with a quasi-source on n labeled nodes and with k arcs, k=0,1,..,n*(n-1).at n=29A057272
- Number of negative terms in a symmetric determinant of order n.at n=8A059424
- Triangle of numbers of square lattice walks that start and end at origin after 2k steps and contain exactly r steps to the east, not touching origin at intermediate stages.at n=17A068218
- Triangle of numbers of square lattice walks that start and end at origin after 2k steps and contain exactly r steps to the east, not touching origin at intermediate stages.at n=18A068218
- Self-convolution of A086582; the first 2^n terms of this sequence gives the 2^n terms that follow the 2^n-th term of A086582.at n=47A086583
- Numbers k such that p(k), p(k)+6, p(k)+12, p(k)+18 are consecutive primes, where p(k) denotes k-th prime.at n=35A090832
- Numbers n such that if p=prime(n), then p, p+6, p+12, p+18 are consecutive primes with p=6*k+5 for some k, where prime(n) denotes n-th prime.at n=18A090835
- Pairs (j, k) of numbers j<k such that phi(j) = phi(k), sigma(j) = sigma(k), d(j) = d(k).at n=32A134922
- Number of binary words of length n containing at least one subword 10^{8}1 and no subwords 10^{i}1 with i<8.at n=48A143288
- a(n)/n! is the probability of guessing "up/down" correctly through a deck of n cards marked 1, 2, ..., n, if one always makes the most probable guess.at n=8A144188
- Numerators of coefficients of series expansion of 1/(Bernoulli trial entropy), scaled to denominators A091137.at n=24A145178
- 4 times octagonal numbers: a(n) = 4*n*(3*n-2).at n=28A153794
- a(n) = 9n^2 - n.at n=31A154516
- a(n) = 36*n^2 - 2*n.at n=15A158062
- a(n) = 1024*n^2 - 32.at n=2A158683