185
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 228
- Proper Divisor Sum (Aliquot Sum)
- 43
- 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
- 144
- Möbius Function
- 1
- Radical
- 185
- 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
- 44
- 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
- einshundertfünfundachtzig· ordinal: einshundertfünfundachtzigste
- English
- one hundred eighty-five· ordinal: one hundred eighty-fifth
- Spanish
- ciento ochenta y cinco· ordinal: 185º
- French
- cent quatre-vingt-cinq· ordinal: cent quatre-vingt-cinqième
- Italian
- centoottantacinque· ordinal: 185º
- Latin
- centum octoginta quinque· ordinal: 185.
- Portuguese
- cento e oitenta e cinco· ordinal: 185º
Appears in sequences
- a(n) is the number of compositions of n in which the maximal part is 3.at n=10A000100
- A nonlinear binomial sum.at n=8A000128
- Positive zeros of Bessel function of order 0 rounded to nearest integer.at n=58A000134
- Number of partitions into non-integral powers.at n=5A000339
- Convolution of A000203 with itself.at n=6A000385
- A Beatty sequence: [ n(e+1) ].at n=49A000572
- Generating function = Product_{m>=1} 1/(1 - x^m)^2; a(n) = number of partitions of n into parts of 2 kinds.at n=8A000712
- n! never ends in this many 0's.at n=35A000966
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=16A001307
- Semiprimes (or biprimes): products of two primes.at n=59A001358
- Number of partitions of n into at most 4 parts.at n=25A001400
- Primes multiplied by 5.at n=11A001750
- Expansion of (psi(-x) / phi(-x))^5 in powers of x where phi(), psi() are Ramanujan theta functions.at n=4A001939
- Beatty sequence of (5+sqrt(13))/2.at n=42A001956
- v-pile counts for the 4-Wythoff game with i=2.at n=35A001966
- Class numbers associated with terms of A001988.at n=14A001989
- Class numbers associated with terms of A001988.at n=16A001989
- Class numbers associated with terms of A001988.at n=15A001989
- Class numbers associated with terms of A001988.at n=13A001989
- Class numbers of quadratic fields.at n=14A002141