3993
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5856
- Proper Divisor Sum (Aliquot Sum)
- 1863
- 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
- 2420
- Möbius Function
- 0
- Radical
- 33
- Omega Function (Ω)
- 4
- 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
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers of the form 3^i*11^j.at n=19A003597
- Coordination sequence T1 for Zeolite Code EAB.at n=46A008082
- Coordination sequence T3 for Zeolite Code GOO.at n=43A008113
- Molien series for real extraspecial group 2^{1+2*3} of degree 8 and order 128 formed from tensor products of Pauli matrices (0,1, 1,0) and (1,0, 0,-1).at n=8A014095
- Eight iterations of Reverse and Add are needed to reach a palindrome.at n=15A015988
- Denominator of sum of -3rd powers of divisors of n.at n=32A017670
- Molien series for complex 8-dimensional group N_3 of order 2^(2.3+2), a central extension of an extraspecial 2-group.at n=4A027629
- Expansion of Product_{m>0} (1+q^m)^(m(m+1)/2).at n=11A028377
- 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 42.at n=18A031540
- Numbers k whose decimal representation, read as a base-21 value and divided by k, yields an integer.at n=26A032573
- Cubeful (i.e., not cubefree) palindromes.at n=21A035133
- Triangle read by rows whose (i,j)-th entry is binomial(i,j)*11^(i-j)*11^j.at n=7A038325
- Triangle read by rows whose (i,j)-th entry is binomial(i,j)*11^(i-j)*11^j.at n=8A038325
- Coordination sequence T3 for Zeolite Code ESV.at n=42A038412
- Base-10 palindromes that starts with 3.at n=21A043038
- Numbers whose base-5 representation contains exactly three 1's and two 3's.at n=27A045246
- Palindromic and divisible by 3.at n=46A045638
- Palindromes with exactly 4 prime factors (counted with multiplicity).at n=24A046330
- Palindromic composite numbers with only palindromic prime factors.at n=47A046351
- Odd numbers with exactly 4 palindromic prime factors (counted with multiplicity).at n=31A046374