4035
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6480
- Proper Divisor Sum (Aliquot Sum)
- 2445
- 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
- 2144
- Möbius Function
- -1
- Radical
- 4035
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 69
- 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
- Number of partitions of floor(5n/2) into n nonnegative integers each no more than 5.at n=27A001975
- Coordination sequence T9 for Zeolite Code EUO.at n=39A008104
- Coordination sequence T2 for Zeolite Code PHI.at n=46A008228
- Molien series for A_11.at n=30A008634
- Number of partitions of n into at most 11 parts.at n=30A008640
- Coordination sequence T4 for Zeolite Code RTH.at n=44A009896
- a(n) = n*(9*n - 1)/2.at n=30A022266
- Expansion of Product_{m>=1} (1+m*q^m)^(-10).at n=8A022702
- 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 21.at n=23A031519
- Number of partitions of 5n such that cn(1,5) = cn(4,5) < cn(0,5) = cn(2,5) = cn(3,5).at n=12A036892
- Denominators of continued fraction convergents to sqrt(311).at n=8A041587
- Base-6 palindromes that start with 3.at n=18A043012
- Numbers whose base-4 representation contains exactly two 0's and four 3's.at n=7A045075
- Numbers whose base-5 representation contains exactly three 1's and two 2's.at n=31A045231
- Coordination sequence T5 for Zeolite Code DON.at n=43A047957
- Coordination sequence T1 for Zeolite Code MSO.at n=44A047963
- a(n)=a(n-1)+a(m), where m=2n-2-2^(p+1) and 2^p<n-1<=2^(p+1), for n >= 4.at n=26A050067
- Let Py(n)=A000330(n)=n-th square pyramidal number. Consider all integer triples (i,j,k), j >= k>0, with Py(i)=Py(j)+Py(k), ordered by increasing i; sequence gives j values.at n=27A053720
- Number of length 3 walks on an n-dimensional hypercubic lattice starting at the origin and staying in the nonnegative part.at n=15A064043
- a(1) = 5; for n > 1, a(n) is the square root of the smallest square > a(n-1)^2 with a(n-1)^2 forming its final digits.at n=4A065780