3908
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
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 6846
- Proper Divisor Sum (Aliquot Sum)
- 2938
- 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
- 1952
- Möbius Function
- 0
- Radical
- 1954
- Omega Function (Ω)
- 3
- 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
- 100
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- A generalized partition function.at n=13A002603
- Coordination sequence for sigma-CrFe, Position Xf.at n=16A009958
- Number of (0,1) matrices with n ones and no zero rows or columns, up to row and column permutations.at n=9A049311
- Numbers n such that Catalan(n)-1 is prime.at n=30A053427
- a(1)=1, a(2)=10, a(n) = floor(a(n-1)/phi) + floor(a(n-2)/phi) where phi is the golden ratio (1+sqrt(5))/2 (if a(2) < 10 a(k) converges to an integer value).at n=52A072930
- Numbers n such that the number of primes between n^2 and (n+1)^2 = the number of primes between n and Reverse(n) (inclusive).at n=11A074817
- Numbers k such that average of prime(k) and prime(k+1) is a perfect square.at n=26A076692
- Sum of largest parts of all partitions of n into odd parts.at n=30A092322
- Absolute value of difference between counts of uninterrupted runs of 10 primes in A092663 and A092664.at n=12A092665
- a(1) = 4; a(n) = (n^(n+1)+2*n-3)/(n-1) for n > 1.at n=4A093149
- Numbers k such that A098037(k) sets a new record. A098037 is the number of prime divisors (counting multiplicity) of the sums of two consecutive primes.at n=11A098048
- Shadow of N (natural numbers), also of Champernowne's shadow.at n=29A110623
- Integers i such that 16*i XOR 17*i = 33*i.at n=35A115833
- phi(n) plus the n-th prime gives a square.at n=25A116021
- a(n) is the number of complete squares that fit inside the circle with radius n, drawn on squared paper at (0, 0).at n=36A119677
- Numbers k such that k and k^2 together contain all ten digits.at n=4A122477
- Numbers n such that n^3 is zeroless pandigital.at n=13A124628
- Record values in A132601.at n=34A132603
- Numbers such that the digital sums in bases 3, 4, 5 and 6 all are equal.at n=11A135126
- a(1)=1, a(n) = a(n-1) + n^4 if n odd, a(n) = a(n-1) + n^3 if n is even.at n=7A140160