1833
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2688
- Proper Divisor Sum (Aliquot Sum)
- 855
- 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
- 1104
- Möbius Function
- -1
- Radical
- 1833
- 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
- 42
- 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 atoms in a decahedron with n shells.at n=13A004068
- a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.at n=39A004963
- Coordination sequence T1 for Zeolite Code MFI.at n=27A008161
- Positive integers k such that k-th triangular number is palindromic.at n=16A008509
- Crystal ball sequence for planar net 3.6.3.6.at n=28A008580
- Year of birth of n-th President of U.S.A.at n=22A008745
- Expansion of log(1+x)*cosh(sinh(x)).at n=7A009413
- A B_2 sequence: a(n) = least value such that the sequence increases and pairwise sums of distinct terms are all distinct.at n=35A010672
- Coordination sequence T1 for Zeolite Code OSI.at n=28A016430
- Number of distinct products ijk with 1 <= i,j,k <= n.at n=28A027425
- a(n) = n*(n+8).at n=39A028566
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 13 (most significant digit on left).at n=23A029458
- Positions of records in A030757.at n=38A030762
- 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 28.at n=15A031526
- Multiplicity of highest weight (or singular) vectors associated with character chi_32 of Monster module.at n=36A034420
- Number of partitions of n into parts not of the form 17k, 17k+5 or 17k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=26A035966
- Restricted permutations.at n=13A036999
- Past of komet 'k2' (A038807).at n=4A038834
- Numbers k such that gcd(phi(k), k-1) = number of divisors of (k-1).at n=36A039768
- Numbers n such that string 5,1 occurs in the base 8 representation of n but not of n-1.at n=31A044228