693
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 1248
- Proper Divisor Sum (Aliquot Sum)
- 555
- 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
- 360
- Möbius Function
- 0
- Radical
- 231
- Omega Function (Ω)
- 4
- 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
- 33
- Smith 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
Names
- German
- sechshundertdreiundneunzig· ordinal: sechshundertdreiundneunzigste
- English
- six hundred ninety-three· ordinal: six hundred ninety-third
- Spanish
- seiscientos noventa y tres· ordinal: 693º
- French
- six cent quatre-vingt-treize· ordinal: six cent quatre-vingt-treizième
- Italian
- seicentonovantatre· ordinal: 693º
- Latin
- sescenti nonaginta tres· ordinal: 693.
- Portuguese
- seiscentos e noventa e três· ordinal: 693º
Appears in sequences
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^2*(1 - x^3)).at n=31A000969
- Number of permutations of length n by rises.at n=3A001278
- a(n) = (6*n+1)*(6*n+3)*(6*n+5).at n=1A001520
- Coefficients of Legendre polynomials.at n=5A001800
- Numerators in expansion of (1 - x)^(-3/2).at n=5A001803
- Number of equivalence classes of binary sequences of period n.at n=16A002729
- a(n) = Sum_{k=0..n} C(n-k,3k).at n=13A003522
- Divisors of 2^30 - 1.at n=20A003538
- Degrees of irreducible representations of alternating group A_11.at n=20A003866
- Degrees of irreducible representations of symmetric group S_11.at n=33A003875
- Degrees of irreducible representations of symmetric group S_11.at n=34A003875
- Degrees of irreducible representations of Higman-Sims group HS.at n=8A003908
- a(n) = floor(1000*log(n)).at n=1A004240
- a(n) = 1000*log(n) rounded to the nearest integer.at n=1A004241
- a(0) = 1; thereafter a(n) = denominator of (n-2)!! / (n-1)!!.at n=12A004731
- Denominator of average distance traveled by n-dimensional fly.at n=9A004735
- a(n) = cost of minimal multiplication-cost addition chain for n.at n=44A005766
- Alkane (or paraffin) numbers l(7,n).at n=11A005994
- Denominators of expansion of sinh x / sin x.at n=43A006656
- Denominators of expansion of sinh x / sin x.at n=10A006656