4782
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
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9576
- Proper Divisor Sum (Aliquot Sum)
- 4794
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1592
- Möbius Function
- -1
- Radical
- 4782
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 121
- 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
- yes
- Odd
- no
Appears in sequences
- Number of B-trees of order 3 with n leaves.at n=25A014535
- Number of monomials in expansion of determinant of an n X n Hankel matrix [ t(i+j) ] in terms of its entries.at n=8A019448
- Coordination sequence T3 for Zeolite Code CZP.at n=45A019458
- a(n) = floor((3rd elementary symmetric function of 2,3,...,n+3)/(2+3+...+n+3)).at n=15A024178
- a(n) = position of 3*n^2 in sequence A025051 (numbers of form j*k + k*i + i*j, without repetitions, where 1 <= i <= j <= k).at n=39A025056
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 20.at n=36A051985
- McKay-Thompson series of class 35A for Monster.at n=35A058640
- Numbers which are the sum of their proper divisors containing the digit 9.at n=11A059468
- Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x.at n=33A063948
- Sum of products of terms in all partitions of n into odd parts.at n=18A067553
- Sum_{k=1..n} floor(n*(n-1)/(2*k)).at n=47A069627
- Right side of the triangle A075652.at n=40A075649
- a(1)=a(2)=1, a(n)=a(n-1)+a(n-2) if n is not congruent to 3, a(n)=a(n-1)+a(n/3) if n is congruent to 3.at n=23A078913
- Terms in a specific cycle of length 29 of the map x->A098189(x).at n=15A098192
- Positive integers n such that n^17 + 1 is semiprime (A001358).at n=43A104494
- Triangle read by rows: T(n,k) is the number of series-reduced planted trees with n leaves and k internal nodes.at n=61A106179
- <h[d+1,d-1],s[d,d]*s[d,d]*s[d,d]> where h[d+1,d-1] is a homogeneous symmetric function, s[d,d] is a Schur function indexed by two parts, * represents the Kronecker product and <, > is the standard scalar product on symmetric functions.at n=25A115376
- Numbers n such that every digit occurs at least once in n^3.at n=7A119735
- Number of reduced words of length n in Coxeter group on 4 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.at n=9A162740
- a(n) = a(n-1)+a(n-2)-Floor(a(n-3)/2)-Floor(a(n-8)/2); initial terms are 0, 1, 1, 2, 3, 5, 7, 11.at n=24A173199