9344
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18870
- Proper Divisor Sum (Aliquot Sum)
- 9526
- 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
- 4608
- Möbius Function
- 0
- Radical
- 146
- Omega Function (Ω)
- 8
- 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
- 122
- 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
- yes
- Odd
- no
Appears in sequences
- exp(arcsinh(x)+sin(x))=1+2*x+4/2!*x^2+6/3!*x^3-38/5!*x^5-96/6!*x^6...at n=10A013082
- Sum{T(n-k,k)}, 0<=k<=[ n/2 ], T given by A026703.at n=17A026713
- 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 47.at n=30A031545
- Numbers k such that 87*2^k+1 is prime.at n=26A032393
- Numerators of continued fraction convergents to sqrt(951).at n=6A042840
- Numbers whose base-5 representation contains exactly two 3's and three 4's.at n=27A045303
- Triangle T(n, k) is coefficient of z^n*w^k in 1/(1 - 2*z - 2*w - 2*z*w) read by rows in order 00, 10, 01, 20, 11, 02, ...at n=31A059473
- Triangle T(n, k) is coefficient of z^n*w^k in 1/(1 - 2*z - 2*w - 2*z*w) read by rows in order 00, 10, 01, 20, 11, 02, ...at n=32A059473
- a(1) = 932; for n > 1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=24A105213
- 8-almost primes p*q*r*s*t*u*v*w relatively prime to p+q+r+s+t+u+v+w.at n=36A110296
- Number of permutations of floor(i*5/4), i=0..n-1, with all sums of two adjacent terms unique.at n=7A147886
- Products of the 7th power of a prime and a distinct prime (p^7*q).at n=20A179664
- Number of subsets of {1, 2, ..., n} containing n and having pairwise coprime elements; also row sums of A186972.at n=37A186973
- (A192533)/2.at n=22A192534
- Number of nX7 0..1 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=14A201502
- Number of (n+1) X 6 0..1 arrays with the number of clockwise edge increases in every 2 X 2 subblock differing from each horizontal or vertical neighbor.at n=11A205190
- Positions of zeros in A214979.at n=46A214980
- Unchanging value maps: number of n X 2 binary arrays indicating the locations of corresponding elements unequal to no horizontal, diagonal or antidiagonal neighbor in a random 0..2 n X 2 array.at n=8A219136
- T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no horizontal or vertical neighbor in a random 0..2 nXk array.at n=46A219310
- Numbers of the form (24*x + 1)*2^(y+6) with positive integers x and y.at n=3A231203