3963
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
- 4
- Divisor Sum
- 5288
- Proper Divisor Sum (Aliquot Sum)
- 1325
- 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
- 2640
- Möbius Function
- 1
- Radical
- 3963
- 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
- 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
- Number of n-input 2-output switching networks under action of AG(n,2) and complementing group C(2,2) on inputs and outputs.at n=3A000862
- a(n) = n^4 + (9/2)*n^3 + n^2 - (9/2)*n + 1.at n=7A003878
- Coordination sequence T6 for Zeolite Code MFS.at n=39A008178
- Coordination sequence T3 for Zeolite Code PAU.at n=46A008221
- Coordination sequence T2 for Zeolite Code iRON.at n=44A009882
- Weak preference orderings of n alternatives, i.e., orderings that have indifference between at least two alternatives.at n=6A019472
- 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 19.at n=30A031517
- Numbers k such that 185*2^k+1 is a prime.at n=10A032469
- Number of partitions of n with equal number of parts congruent to each of 0, 3 and 4 (mod 5).at n=44A035577
- Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(2,5) = cn(3,5) = cn(4,5).at n=72A036871
- Number of partitions of n such that cn(0,5) = cn(1,5) < cn(2,5) = cn(3,5) = cn(4,5).at n=72A036873
- Base-6 palindromes that start with 3.at n=16A043012
- Numbers whose base-5 representation contains exactly three 1's and two 3's.at n=22A045246
- Starting positions of strings of 2 1's in the decimal expansion of Pi.at n=40A050208
- Nonprime numbers n such that n and n-reversed (<>n and no leading zeros) have the same number of prime factors and these prime factors (palindromes allowed here) are also reversals of each other.at n=50A050702
- Number of asymmetric (identity) trees with n nodes and 5 leaves.at n=11A055336
- a(n+1) = a(n) + a(n minus the number of terms of the same parity as n so far).at n=47A060729
- C(n+3)=2*C(n), where C(n) is Cototient(n) := n - phi(n) (A051953).at n=27A063480
- Numbers k such that 1 + binomial(k,j) is prime for only 2 values of j (0 <= j <= k).at n=32A067317
- a(n) = (a(n-1)+a(n-2))/7^k, where 7^k is the highest power of 7 dividing a(n-1)+a(n-2).at n=31A078414