4785
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8640
- Proper Divisor Sum (Aliquot Sum)
- 3855
- 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
- 2240
- Möbius Function
- 1
- Radical
- 4785
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 72
- 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
- no
- Odd
- yes
Appears in sequences
- Partial sums of (unordered) ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=49A000064
- Expansion of e.g.f. exp(-x)/(1-4*x).at n=4A001907
- Coordination sequence T2 for Zeolite Code SGT.at n=43A008230
- Expansion of e.g.f.: exp(sinh(x)*cos(x)).at n=9A009228
- E.g.f. sin(sin(x)*cosh(x)) (odd powers only).at n=4A009482
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=33A013592
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 5.at n=12A013593
- Numbers k such that sigma(k) = sigma(k+5).at n=5A015865
- Number of singular 2 X 2 matrices over Z(n) (i.e., with determinant = 0).at n=14A020478
- a(n) = T(n,n-3), where T is the array in A026374.at n=19A026382
- a(n) = (2*n+1)*(9*n+1).at n=16A033573
- a(n) is square mod a(i), i < n; a(n) nonsquare; a(1) = 2.at n=16A034901
- Squarefree odd numbers with exactly 4 distinct prime factors.at n=21A046390
- Number of ways to place non-intersecting diagonals in convex n-gon so as to create no triangles.at n=11A046736
- Sizes of successive clusters in Z^4 lattice.at n=30A046895
- Number of nonempty subsets of {1,2,...,n} in which exactly 4/5 of the elements are <= n/2.at n=20A047168
- Number of nonempty subsets of {1,2,...,n} in which exactly 4/5 of the elements are <= (n-1)/2.at n=20A047179
- a(n)=T(n,1), array T as in A049735.at n=39A049744
- 11-gonal (or hendecagonal) numbers: a(n) = n*(9*n-7)/2.at n=33A051682
- Number of permutations in S_n avoiding the strings 123, 321 and 231.at n=11A060696