705
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1152
- Proper Divisor Sum (Aliquot Sum)
- 447
- 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
- 368
- Möbius Function
- -1
- Radical
- 705
- 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
- 33
- Smith 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
Names
- German
- siebenhundertfünf· ordinal: siebenhundertfünfste
- English
- seven hundred five· ordinal: seven hundred fifth
- Spanish
- setecientos cinco· ordinal: 705º
- French
- sept cent cinq· ordinal: sept cent cinqième
- Italian
- settecentocinque· ordinal: 705º
- Latin
- septingenti quinque· ordinal: 705.
- Portuguese
- setecentos e cinco· ordinal: 705º
Appears in sequences
- a(n) = floor(n^2/3).at n=46A000212
- Number of primes < prime(n)^2.at n=20A000879
- Generalized octagonal numbers: k*(3*k-2), k=0, +- 1, +- 2, +-3, ...at n=30A001082
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 20, 50 cents.at n=58A001313
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^6 in powers of x.at n=38A001484
- Triangular numbers plus quarter-squares: n*(n+1)/2 + floor((n+1)^2/4) (i.e., A000217(n) + A002620(n+1)).at n=30A001859
- Denominators of cosecant numbers: -2*(2^(2*n-1)-1)*Bernoulli(2*n).at n=46A001897
- Numbers k such that (k^2 + k + 1)/13 is prime.at n=33A002642
- Expansion of e.g.f.: 1 + x*exp(x) + x^2*exp(2*x) + x^3*exp(3*x).at n=5A003014
- Numbers that are the sum of 12 positive 6th powers.at n=11A003368
- Number of nets on n unlabeled nodes.at n=4A004103
- a(n) = round(n*phi^8), where phi is the golden ratio, A001622.at n=15A004943
- a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.at n=15A004963
- Quadrinomial coefficients: C(2+n,n) + C(3+n,n) + C(4+n,n).at n=8A005718
- Bruckman-Lucas pseudoprimes: k | (L_k - 1), where k is composite and L_k = Lucas numbers A000032.at n=0A005845
- 4-dimensional analog of centered polygonal numbers: a(n) = n(n+1)*(n^2+n+4)/12.at n=9A006007
- Coefficients of period polynomials.at n=13A006309
- Number of tree-rooted toroidal maps with 3 faces and n vertices and without separating loops or isthmuses.at n=1A006435
- Add 2, then reverse digits!.at n=24A007396
- Largest number not a sum of distinct primes >= prime(n).at n=47A007414