993
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1328
- Proper Divisor Sum (Aliquot Sum)
- 335
- 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
- 660
- Möbius Function
- 1
- Radical
- 993
- 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
- 93
- Smith 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
Names
- German
- neunhundertdreiundneunzig· ordinal: neunhundertdreiundneunzigste
- English
- nine hundred ninety-three· ordinal: nine hundred ninety-third
- Spanish
- novecientos noventa y tres· ordinal: 993º
- French
- neuf cent quatre-vingt-treize· ordinal: neuf cent quatre-vingt-treizième
- Italian
- novecentonovantatre· ordinal: 993º
- Latin
- nongenti nonaginta tres· ordinal: 993.
- Portuguese
- novecentos e noventa e três· ordinal: 993º
Appears in sequences
- a(n) = least m such that if a/b < c/d where a,b,c,d are integers in [0,n], then a/b < k/m < c/d for some integer k.at n=36A001000
- Number of sublattices of index n in generic 3-dimensional lattice.at n=30A001001
- Central polygonal numbers: a(n) = n^2 - n + 1.at n=32A002061
- Number of partitions of n into Fibonacci parts (with a single type of 1).at n=36A003107
- Divisors of 2^30 - 1.at n=21A003538
- Number of acyclic disubstituted alkanes with n carbon atoms and identical substituents.at n=7A005961
- Related to representations as sums of Fibonacci numbers.at n=48A006132
- 11*n^2 + 11*n + 3.at n=9A006222
- Discriminants of totally real cubic fields.at n=26A006832
- Coordination sequence T1 for Zeolite Code BPH.at n=24A008055
- Coordination sequence T3 for Zeolite Code EMT.at n=26A008088
- Coordination sequence T11 for Zeolite Code MFI.at n=20A008163
- Coordination sequence T5 for Zeolite Code PAU.at n=23A008223
- Coordination sequence T2 for Scapolite.at n=20A008263
- Expansion of (1+x^10)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=41A008771
- Expansion of log(1+x)*cosh(sin(x)).at n=7A009412
- Expansion of e.g.f. log(1+x)/cos(tanh(x)).at n=7A009428
- Expansion of (1 - x + x^4) / (1 - x)^3.at n=46A016028
- a(n) = 4^n - 2^n + 1.at n=5A020515
- Expansion of Product_{m>=1} (1 - m*q^m)^5.at n=10A022665