894
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
- 8
- Divisor Sum
- 1800
- Proper Divisor Sum (Aliquot Sum)
- 906
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 296
- Möbius Function
- -1
- Radical
- 894
- 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
- 98
- 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
- yes
- Odd
- no
Names
- German
- achthundertvierundneunzig· ordinal: achthundertvierundneunzigste
- English
- eight hundred ninety-four· ordinal: eight hundred ninety-fourth
- Spanish
- ochocientos noventa y cuatro· ordinal: 894º
- French
- huit cent quatre-vingt-quatorze· ordinal: huit cent quatre-vingt-quatorzième
- Italian
- ottocentonovantaquattro· ordinal: 894º
- Latin
- octingenti nonaginta quattuor· ordinal: 894.
- Portuguese
- oitocentos e noventa e quatro· ordinal: 894º
Appears in sequences
- Mixed partitions of n.at n=21A002096
- Representation degeneracies for Neveu-Schwarz strings.at n=11A005298
- Cald's sequence: a(n+1) = a(n) - prime(n) if that value is positive and new, otherwise a(n) + prime(n) if new, otherwise 0; start with a(1)=1.at n=112A006509
- Sum ((-1)^(i+1)*binomial(n,i)*2^i*(2*i-1)!,i=1..n).at n=3A006547
- Number of partitions of n into parts of sizes {a( )} is a(n).at n=32A007209
- Number of partition graphs on n vertices.at n=8A007268
- A grasshopper sequence: closed under n -> 2n+2 and 6n+6.at n=51A007319
- Impractical numbers: even abundant numbers (A173490) that are not practical(2) (A007620).at n=51A007621
- Coordination sequence T1 for Zeolite Code DAC.at n=19A008067
- Coordination sequence T3 for Zeolite Code MFI.at n=19A008166
- E.g.f. log(1 + log(1+x)*exp(x)).at n=7A009321
- E.g.f. sinh(log(1+x))*log(1+x).at n=6A009575
- Apply partial sum operator thrice to Fibonacci numbers.at n=10A014162
- Number of parts in all partitions of all the numbers in {1,2,...,n} into distinct parts.at n=18A015724
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17).at n=59A017893
- Divisors of 894.at n=7A018707
- Coordination sequence for G_2 lattice.at n=50A019557
- Numbers k such that Fibonacci(k) == 8 (mod k).at n=10A023177
- Convolution of A023531 and (1, p(1), p(2), ...).at n=46A023559
- Convolution of A023531 and primes.at n=45A023567