4835
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5808
- Proper Divisor Sum (Aliquot Sum)
- 973
- 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
- 3864
- Möbius Function
- 1
- Radical
- 4835
- 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
- 20
- Smith Number
- no
- 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
- a(n) = a(n-1) + a(n - 1 - number of even terms so far).at n=36A006336
- 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 13.at n=41A031511
- Decimal part of a(n)^(1/7) starts with n so that a(n) < a(n+1).at n=36A034072
- Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 4 (mod 5).at n=43A035568
- Triangle T(n,k) of the number of strongly connected digraphs on n labeled nodes and with k arcs, k=0..n*(n-1).at n=40A057273
- Trisection of A007294.at n=29A073472
- Number of anisohedral polyhexes with n cells.at n=13A075215
- a(n) = Sum_{i=n+1..2n} prime(i) - Sum_{i=1..n} prime(i).at n=30A077354
- n-th partition number (A000041) sets a new record for number of divisors.at n=24A085544
- Numbers k such that k, k+2, k+4, k+6, k+8 are semiprimes.at n=16A092127
- Let b(0)=1; b(1)=1; b(n+2) = (Pi^2/6 + 6/Pi^2)*b(n+1) - b(n). a(n) = floor(b(n)).at n=17A093607
- Limiting sequence formed by rows of A094504 read backwards: rightmost floor(n/2)+1 terms of row n in table A094504.at n=9A096322
- 0 together with numbers k such that 4*R_k - 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=9A099412
- Number of primes in the open interval between successive tribonacci numbers.at n=21A131354
- Where records occurs in A085543 for positive values of n.at n=24A154789
- Positive numbers y such that y^2 is of the form x^2+(x+967)^2 with integer x.at n=4A159701
- Number of binary strings of length n which have the same number of 00 and 01 substrings.at n=15A163493
- Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A005773(n+1)= 1,2,5,13,35,96,267,...at n=38A171488
- Odd numbers producing 4 odd numbers in the Collatz iteration.at n=20A198587
- Number of (w,x,y,z) with all terms in {1,...,n} and |w-x|=2|x-y|+2|y-z|.at n=27A212576