4683
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7168
- Proper Divisor Sum (Aliquot Sum)
- 2485
- 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
- 2664
- Möbius Function
- -1
- Radical
- 4683
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 59
- 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
- Fubini numbers: number of preferential arrangements of n labeled elements; or number of weak orders on n labeled elements; or number of ordered partitions of [n].at n=6A000670
- Number of dissimilarity relations on an n-set.at n=3A006541
- Coordination sequence T3 for Zeolite Code MTW.at n=45A008198
- Numbers having period-2 6-digitized sequences.at n=9A031357
- 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 44.at n=35A031542
- Numbers whose set of base-8 digits is {1,3}.at n=31A032915
- Nearest integer to n!/(2*log(2)^(n+1)).at n=6A034172
- Gozinta numbers: possible number of gozinta chains for some positive integer.at n=49A034776
- Numbers whose maximal base-8 run length is 4.at n=10A037995
- Numbers having four 1's in base 8.at n=6A043428
- Table in which n-th row gives all partitions of n interpreted in base n+1. (A subset of A051849 with each term having a non-descending digit-sequence in base n+1).at n=40A051851
- Number of inequivalent (ordered) solutions to n^2 = sum of 8 squares of integers >= 0.at n=30A065462
- Triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} defined by a(0,0)=1, a(n,0)=A000670(n), a(n,n)=A000629(n), a(n,k) = a(n,k-1) + a(n-1,k-1); a(n+1,0) = Sum_{k=0..n} a(n,k).at n=21A073146
- a(n)=A074639(A074647(n)).at n=26A074648
- Triangle read by rows: T(n,k) = Sum_{i=k..n} i!*Stirling2(n,i), n >= 1, 1 <= k <= n.at n=15A084416
- Triangle read by rows: T(n,k)=sum((n+1-i)!*stirling2(n,n+1-i),i=1..k), n>=1, 1<=k<=n.at n=20A084417
- Matrix product of Stirling2-triangle A008277(n,k) and unsigned Lah-triangle |A008297(n,k)|.at n=15A088729
- Convoluted convolved Fibonacci numbers G_7^(r).at n=12A089113
- Sign twisted convoluted convolved Fibonacci numbers H_7^(r).at n=12A089114
- Array read by antidiagonals: generalized ordered Bell numbers Bo(r,n).at n=20A094416