9354
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18720
- Proper Divisor Sum (Aliquot Sum)
- 9366
- 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
- 3116
- Möbius Function
- -1
- Radical
- 9354
- 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
- 60
- 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 period 72.at n=39A020411
- Numbers having four 2's in base 8.at n=7A043432
- Number of positive integers <= 2^n of form 7 x^2 + 10 y^2.at n=17A054189
- Number of incongruent ways to tile a 2 X n room with 1 X 2 Tatami mats. At most 3 Tatami mats may meet at a point.at n=25A068927
- Square array of Pell related numbers, read by antidiagonals.at n=60A086350
- Main diagonal of square array A086350.at n=5A086352
- Number of A095284-primes in range ]2^n,2^(n+1)].at n=18A095294
- Number of A095322-primes in range ]2^n,2^(n+1)].at n=18A095324
- Antidiagonal sums of the antidiagonals of Losanitsch's triangle.at n=27A102543
- Numbers k such that the k-th and (k+1)-th primes have the same sum of squares of digits.at n=40A109182
- Antidiagonal sums of A145153.at n=15A145139
- a(n) = ((2+sqrt(2))*(5+sqrt(2))^n+(2-sqrt(2))*(5-sqrt(2))^n)/4.at n=5A161734
- Number of 3 X n 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing.at n=35A224039
- a(n) = n*prime(prime(n)) - prime(n)^2.at n=36A230098
- Least number k > 0 such that 3^k contains at least an n-digit long substring of the infinite string "98765432109876543210987654...".at n=8A243304
- Number of times prime(n) occurs as the least prime factor among numbers 1 .. prime(n)^3: a(n) = A078898(A030078(n)).at n=64A250474
- Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum not 3 or 6 and every diagonal and antidiagonal sum 3 or 6.at n=2A251822
- Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum not 3 or 6 and every diagonal and antidiagonal sum 3 or 6.at n=0A251824
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 3 or 6 and every diagonal and antidiagonal sum 3 or 6.at n=3A251829
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 3 or 6 and every diagonal and antidiagonal sum 3 or 6.at n=5A251829