9038
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13560
- Proper Divisor Sum (Aliquot Sum)
- 4522
- 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
- 4518
- Möbius Function
- 1
- Radical
- 9038
- 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
- 91
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) is the number of conjugacy classes in the alternating group A_n.at n=35A000702
- n is equal to the number of 3s in all numbers <= n written in base 5.at n=13A014895
- 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 94.at n=15A031592
- Positive numbers having the same set of digits in base 7 and base 9.at n=40A037439
- Numbers m such that m^2 ends in 444.at n=36A039685
- Floor( e * (3/2)^n ).at n=20A081225
- Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the edge.at n=36A098498
- Number of partitions that are "2-close" to being self-conjugate.at n=45A108961
- Number of partitions of n with no even parts repeated and with no 1's.at n=52A117275
- Self-generated: 1=1*1; 2=1*1+1*1; 5=1*2+2*1+1*1; 12=1*5+2*2+2*1+1*1; 35=1*12+2*5+5*2+2*1+1*1; 97=1*35+2*12+5*5+5*2+2*1+1*1; ...at n=9A131267
- Riordan array (1/(1-3*x+x^2), x*(1-x)/(1-3*x+x^2)).at n=49A206800
- Triangle of coefficients of polynomials u(n,x) jointly generated with A210742; see the Formula section.at n=50A210741
- Number of Dyck n-paths all of whose ascents have lengths equal to 1 (mod 4).at n=14A212384
- Number of n X 3 0..1 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing.at n=22A223833
- Number of n-node unlabeled rooted trees with thinning limbs and root outdegree (branching factor) 8.at n=12A244709
- Triangle read by rows: coefficients of the polynomials A_{1,5}(n,k).at n=18A245168
- Number of free highly irregular trees with n nodes.at n=39A259864
- Least number k such that there are exactly n cubefull numbers between k^3 and (k+1)^3.at n=11A337737