9775
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13392
- Proper Divisor Sum (Aliquot Sum)
- 3617
- 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
- 7040
- Möbius Function
- 0
- Radical
- 1955
- Omega Function (Ω)
- 4
- 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
- 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
- no
- Odd
- yes
Appears in sequences
- Tetranacci numbers A073817 without the leading term 4.at n=13A001648
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+5 or 24k-5. Also number of partitions in which no odd part is repeated, with at most 2 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=49A036031
- Numerators of continued fraction convergents to sqrt(287).at n=5A041540
- a(n) = (2*n-1)*(5*n^2-5*n+2)/2.at n=12A063495
- Tetranacci numbers with different initial conditions: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) starting with a(0)=4, a(1)=1, a(2)=3, a(3)=7.at n=14A073817
- Sum of determinants of 3rd-order principal minors of powers of inverse of tetramatrix ((1,1,0,0),(1,0,1,0),(1,0,0,1),(1,0,0,0)).at n=14A074081
- Denominator of Product_{k=0..n} ((2*k+1)/(2*k+2))^((-1)^t(k)) where t(k)=A010060(k) (Thue-Morse sequence).at n=11A094542
- Numbers k such that the sum of the digits of (k^k - 1) is divisible by k.at n=9A109675
- a(n) = (10^k - n)(10^k + n), where k is the number of digits in n.at n=14A110397
- Odd interprimes divisible by 17.at n=31A124620
- Floor((quadronacci ratio)^n).at n=13A125898
- Difference between the cubes and 2*tetrahedral numbers; A000578(n) - 2*A000292(n).at n=25A146298
- Sum of all numbers from 2*n-1 up to prime(n).at n=36A161626
- Numbers of the form 12n+7 for which Sum_{i=0..(4n+2)} J(i,12n+7) = 0, where J(i,m) is the Jacobi symbol.at n=31A165463
- Multiples of 17 whose reversal + 1 is also a multiple of 17.at n=31A166391
- Twin natural nonprimes with nonprime number of prime factors.at n=38A171995
- Partial sums of A006143.at n=16A174459
- a(n) = a(n-1)+floor(a(n-2)/4) with a(0)=3, a(1)=4.at n=45A182230
- Number of matchings in the n-antiprism graph.at n=6A192742
- Numbers k such that sum of the divisors of k equals the sum of the reversals of the divisors of k. Numbers with all palindrome divisors are not in the sequence.at n=15A196677