785
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 948
- Proper Divisor Sum (Aliquot Sum)
- 163
- 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
- 624
- Möbius Function
- 1
- Radical
- 785
- 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
- 121
- 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
- siebenhundertfünfundachtzig· ordinal: siebenhundertfünfundachtzigste
- English
- seven hundred eighty-five· ordinal: seven hundred eighty-fifth
- Spanish
- setecientos ochenta y cinco· ordinal: 785º
- French
- sept cent quatre-vingt-cinq· ordinal: sept cent quatre-vingt-cinqième
- Italian
- settecentoottantacinque· ordinal: 785º
- Latin
- septingenti octoginta quinque· ordinal: 785.
- Portuguese
- setecentos e oitenta e cinco· ordinal: 785º
Appears in sequences
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^3)).at n=27A000601
- Maximal number of states in the minimal deterministic finite automaton accepting a language over a binary alphabet consisting of some words of length n.at n=12A000802
- Primes multiplied by 5.at n=36A001750
- Numbers of the form (p^2 - 49)/120 where p is prime.at n=31A002382
- a(n) = n^2 + 1.at n=28A002522
- Number of integral points in a certain sequence of closed quadrilaterals.at n=41A002579
- Numbers k such that 2*10^k - 1 is prime.at n=14A002957
- Numbers that are the sum of 5 positive 4th powers.at n=52A003339
- Number of unsensed 2-connected maps with n edges and without faces of degree 2.at n=8A006405
- Discriminants of totally real cubic fields.at n=19A006832
- a(n) is the largest odd number k such that 9, 11, ..., k are sums of 3 of first n odd primes.at n=56A007962
- Coordination sequence T3 for Zeolite Code BOG.at n=20A008051
- a(n) = (n+1)*(n^2 +8*n +6)/6. Number of n-dimensional partitions of 4. Number of terms in 4th derivative of a function composed with itself n times.at n=14A008778
- a(n) = floor(n*(n - 1)*(n - 2)/31).at n=30A011913
- Expansion of e.g.f.: exp(cos(x)*arcsin(x))=1+x+1/2!*x^2-1/3!*x^3-7/4!*x^4-15/5!*x^5...at n=10A012480
- cosh(cos(x)*arcsin(x))=1+1/2!*x^2-7/4!*x^4+25/6!*x^6+1297/8!*x^8...at n=5A012490
- tanh(arcsinh(x)+arctan(x))=2*x-19/3!*x^3+785/5!*x^5-70705/7!*x^7...at n=2A013110
- Least d for which the number with continued fraction [n,n,n,n...] is in Q(sqrt(d)).at n=55A013946
- Positive integers n such that 2^n == 2^5 (mod n).at n=31A015925
- Add 4, then reverse digits; start with 3.at n=29A016081