871
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 952
- Proper Divisor Sum (Aliquot Sum)
- 81
- 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
- 792
- Möbius Function
- 1
- Radical
- 871
- 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
- 178
- 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
- achthunderteinundsiebzig· ordinal: achthunderteinundsiebzigste
- English
- eight hundred seventy-one· ordinal: eight hundred seventy-first
- Spanish
- ochocientos setenta y uno· ordinal: 871º
- French
- huit cent soixante-onze· ordinal: huit cent soixante-onzième
- Italian
- ottocentosettantuno· ordinal: 871º
- Latin
- octingenti septuaginta unus· ordinal: 871.
- Portuguese
- oitocentos e setenta e um· ordinal: 871º
Appears in sequences
- Construct a triangle as in A036262. Sequence is one less than the position of the first number larger than 2 in the n-th row (n-th difference).at n=28A000232
- A nonlinear recurrence: a(n) = a(n-1)^2 - 3*a(n-1) + 3 (for n>1).at n=4A000289
- Number of alkyl benzenes with n carbon atoms: C(n)H(2n-6).at n=13A000639
- a(n) = least m such that if a/b < c/d where a,b,c,d are integers in [0,n], then a/b < k/m < c/d for some integer k.at n=34A001000
- Number of sublattices of index n in generic 3-dimensional lattice.at n=28A001001
- Central polygonal numbers: a(n) = n^2 - n + 1.at n=30A002061
- Numbers k such that 9*2^k - 1 is prime.at n=17A002236
- Number of non-isentropic binary rooted trees with n nodes.at n=8A002844
- Number of partitions of n into parts 5k+1 or 5k+4.at n=48A003114
- a(n) = floor(n*phi^7), where phi is the golden ratio, A001622.at n=30A004922
- a(n) = round(n*phi^7), where phi is the golden ratio, A001622.at n=30A004942
- Number of unsensed loopless planar maps with n edges.at n=7A006391
- In the '3x+1' problem, these values for the starting value set new records for number of steps to reach 1.at n=19A006877
- 5th-order maximal independent sets in cycle graph.at n=38A007388
- Number of rooted connected graphs where every block is a complete graph.at n=8A007563
- Coordination sequence T3 for Zeolite Code LAU.at n=21A008126
- Coordination sequence T4 for Zeolite Code MEL.at n=19A008153
- Coordination sequence T2 for Zeolite Code YUG.at n=19A008248
- Numerator of [x^(2n)] of the Taylor expansion cosh(cosec(x)-cot(x))=1 +x^2/8 +3*x^4/128 +59*x^6/15360 +871*x^8/1474560 +....at n=4A013526
- Expansion of 1/(1-x^7-x^8-x^9-x^10-x^11-x^12).at n=46A017861