849
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1136
- Proper Divisor Sum (Aliquot Sum)
- 287
- 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
- 564
- Möbius Function
- 1
- Radical
- 849
- 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
- 59
- 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
- achthundertneunundvierzig· ordinal: achthundertneunundvierzigste
- English
- eight hundred forty-nine· ordinal: eight hundred forty-ninth
- Spanish
- ochocientos cuarenta y nueve· ordinal: 849º
- French
- huit cent quarante-neuf· ordinal: huit cent quarante-neufième
- Italian
- ottocentoquarantanove· ordinal: 849º
- Latin
- octingenti quadraginta novem· ordinal: 849.
- Portuguese
- oitocentos e quarenta e nove· ordinal: 849º
Appears in sequences
- Hit polynomials.at n=6A001888
- Numbers that are the sum of 4 nonzero 4th powers.at n=41A003338
- a(n) = n*(7*n^2 - 1)/6.at n=9A004126
- From a counter moving problem.at n=12A004138
- Divisible only by primes congruent to 3 mod 7.at n=50A004621
- Number of points on surface of tricapped prism: a(n) = 7*n^2 + 2 for n > 0, a(0)=1.at n=11A005919
- Number of elements in Z[ sqrt(-2) ] whose 'smallest algorithm' is <= n.at n=12A006459
- Handsome numbers: sum of positive powers of its digits; a(n) = Sum_{i=1..k} d[i]^e[i] where d[1..k] are the decimal digits of a(n), e[i] > 0.at n=46A007532
- Coordination sequence T3 for Zeolite Code BRE.at n=19A008060
- Coordination sequence T1 for Zeolite Code LTA and RHO.at n=23A008137
- Expansion of e.g.f.: 1/cos(sin(x)) (even-indexed coefficients only).at n=5A009008
- Smallest k such that the smallest palindrome > k in the Reverse and Add! trajectory of k is reached after exactly n iterations.at n=13A015994
- Powers of cube root of 18 rounded down.at n=7A018027
- Powers of cube root of 18 rounded to nearest integer.at n=7A018028
- (n-2)nd Catalan number is congruent to n/3 mod n.at n=33A019467
- Numbers k such that the continued fraction for sqrt(k) has period 30.at n=4A020369
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly ten 1's.at n=36A020446
- Increasing gaps between squarefree numbers (upper end).at n=5A020755
- a(0) = 0. For n > 0, smallest non-palindromic number k such that the smallest palindrome in the Reverse and Add! trajectory of k is reached after exactly n iterations.at n=14A023109
- Numbers k such that Fibonacci(k) == -2 (mod k).at n=15A023163