1662
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
- 3336
- Proper Divisor Sum (Aliquot Sum)
- 1674
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 552
- Möbius Function
- -1
- Radical
- 1662
- 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
- 135
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = least integer m > a(n-1) such that m - a(n-1) != a(j) - a(k) for all j, k less than n; a(1) = 1, a(2) = 2.at n=39A004978
- Number of factorization patterns of polynomials of degree n over F_3.at n=15A006168
- Coordination sequence T1 for Zeolite Code MFI.at n=26A008161
- Coordination sequence T7 for Zeolite Code MFS.at n=25A008179
- Coordination sequence T7 for Zeolite Code NES.at n=26A008211
- Molien series for Weyl group E_8.at n=51A008582
- Coordination sequence T4 for Zeolite Code -CLO.at n=36A009853
- Coordination sequence T2 for Zeolite Code DFO.at n=31A009876
- Expansion of 1/(1-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18).at n=55A017885
- Powers of cube root of 24 rounded up.at n=7A018047
- Powers of fourth root of 3 rounded to nearest integer.at n=27A018052
- Powers of fourth root of 3 rounded up.at n=27A018053
- a(n) = n*(23*n + 1)/2.at n=12A022281
- a(n) = T(n,[ n/2 ]), where T is the array defined in A025177.at n=11A025189
- Index of 10^n within the sequence of the numbers of the form 6^i*10^j.at n=50A025744
- a(n) = T(n,[ n/2 ]), where T is the array in A026148.at n=11A026162
- a(n) = sum of the numbers between the two n's in A026276.at n=37A026279
- Numbers having period-14 7-digitized sequences.at n=30A031205
- 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 26.at n=16A031524
- Multiplicity of highest weight (or singular) vectors associated with character chi_157 of Monster module.at n=38A034545