9445
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11340
- Proper Divisor Sum (Aliquot Sum)
- 1895
- 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
- 7552
- Möbius Function
- 1
- Radical
- 9445
- Omega Function (Ω)
- 2
- 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
- 60
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/27 ).at n=24A011937
- a(n) = Sum_{k=0..floor(n/2)} A027157(n-k, k).at n=15A027167
- Number of partitions of n with equal number of parts congruent to each of 3 and 4 (mod 5).at n=41A035561
- Number of 3-covers of an unlabeled n-set.at n=13A055195
- Numbers k such that 7*2^k + 5 is prime.at n=21A058595
- a(n) = floor( n^e ), e = 2.718281828...at n=28A061293
- Starting positions of strings of three 4's in the decimal expansion of Pi.at n=12A083615
- Number of partitions of n without rotational symmetry (or 1-fold symmetry).at n=33A085436
- Recamán's Fibonacci variation : a(1)=a(2)=1 then a(n) = a(n-1)+a(n-2)-F(n) if that number is >0 and not already in the sequence; a(n) = a(n-1)+a(n-2)+F(n) otherwise where F(n) denotes the n-th Fibonacci number.at n=19A091484
- Numbers k such that f(k), f(k+1) and f(k+2) are all primes, where f(k) = 8*k^2 + 4*k + 1.at n=35A103777
- Antidiagonal sums of square table A112564 of generalized Flavius Josephus sieves.at n=12A112569
- Row sums of A123539.at n=23A123540
- Eigentriangle of Catalan triangle A033184.at n=47A172380
- Triangle whose inverse has production matrix with general term (-1)^(n-k+1)*C(k+1, n-k+1).at n=37A172381
- Where records occur in A169784.at n=38A175437
- Number of -n..n circular arrays x(0..5) of 6 elements with zero sums of x(i) and x(i)*x((i+1) mod 6).at n=7A202008
- 2*A014335 - A203578. Difference of the exponential convolution of A000045 (Fibonacci) with itself and the corresponding exponential half-convolution.at n=10A204451
- Number of Gram blocks [g(j), g(j+2)) up to 10^n with 0 <= j < 10^n.at n=3A231158
- Numbers k such that (85*10^k - 103)/9 is prime.at n=20A290433
- Regular triangle read by rows: T(n,k) is the k-th ionization energy of the n-th chemical element (in kJ/mol), rounded to the nearest integer.at n=25A322834