4765
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5724
- Proper Divisor Sum (Aliquot Sum)
- 959
- 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
- 3808
- Möbius Function
- 1
- Radical
- 4765
- 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
- 51
- Smith Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 12 positive 7th powers.at n=28A003379
- Numbers k such that 4*3^k - 1 is prime.at n=16A005540
- a(n) = [ a(n-1)/a(1) ] + [ a(n-3)/a(3) ] + [ a(n-5)/a(5) ] + ..., for n >= 3.at n=35A022872
- Number of 3-component Carmichael numbers C = (6M + 1)(12M + 1)(18M + 1) < 10^n.at n=18A036060
- Digit sum of 'odd' number equals digit sum of 'sum' and 'juxtaposition' of its prime factors (counted with multiplicity).at n=28A036927
- a(n)=T(n,n+3), array T as in A049735.at n=26A049743
- Number of ordered pairs of integers (x,y) with x^2+y^2 < n^2.at n=39A051132
- Number of level partitions of n.at n=52A053197
- Composite and every divisor (except 1) contains the digit 5.at n=38A062672
- a(n) = n^2 * Sum_{primes p dividing n} (1 + 1/p^2).at n=45A065969
- Average of squares of successive primes: a(n) = (prime(n+1)^2 + prime(n)^2)/2, with n >= 2.at n=17A075892
- a(n) = 4*(n+1)*n + 5.at n=34A078370
- 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=22A078913
- Reversible Smith numbers, i.e., Smith numbers whose reversal is also a Smith number.at n=32A104171
- Numbers n such that P(13*n) is prime, where P(n) is the unrestricted partition number.at n=9A113518
- Number of planar partitions of n with all part sizes distinct.at n=29A117433
- Largest number that is not the sum of four (2n+1)-gonal numbers.at n=4A118368
- a(n) = 11 + floor((2 + Sum_{j=1..n-1} a(j))/3).at n=21A120156
- Number of base 15 circular n-digit numbers with adjacent digits differing by 2 or less.at n=5A124893
- a(n) = Frobenius number for 6 successive primes = F[p(n), p(n+1), p(n+2), p(n+3), p(n+4), p(n+5)].at n=48A138992