876
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
- 12
- Divisor Sum
- 2072
- Proper Divisor Sum (Aliquot Sum)
- 1196
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 288
- Möbius Function
- 0
- Radical
- 438
- Omega Function (Ω)
- 4
- 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
- 54
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- achthundertsechsundsiebzig· ordinal: achthundertsechsundsiebzigste
- English
- eight hundred seventy-six· ordinal: eight hundred seventy-sixth
- Spanish
- ochocientos setenta y seis· ordinal: 876º
- French
- huit cent soixante-seize· ordinal: huit cent soixante-seizième
- Italian
- ottocentosettantasei· ordinal: 876º
- Latin
- octingenti septuaginta sex· ordinal: 876.
- Portuguese
- oitocentos e setenta e seis· ordinal: 876º
Appears in sequences
- Number of ways of writing n as a sum of 6 squares.at n=9A000141
- Number of monosubstituted alkanes C(n-1)H(2n-1)-X with n-1 carbon atoms that are not stereoisomers.at n=15A000621
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^2*(1 - x^3)).at n=35A000969
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=36A001172
- Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, ....at n=48A001318
- Hypotenusal numbers.at n=5A001660
- Number of partitions with no even part repeated; partitions of n in which no parts are multiples of 4.at n=25A001935
- Second pentagonal numbers: a(n) = n*(3*n + 1)/2.at n=24A005449
- Numbers k such that k^8 + 1 is prime.at n=33A006314
- 4-dimensional analog of centered polygonal numbers.at n=9A006325
- Moebius transform of triangular numbers.at n=44A007438
- 12-gonal (or dodecagonal) pyramidal numbers: a(n) = n*(n+1)*(10*n-7)/6.at n=8A007587
- Impractical numbers: even abundant numbers (A173490) that are not practical(2) (A007620).at n=50A007621
- Coordination sequence T3 for Zeolite Code MTN.at n=18A008188
- Coordination sequence T7 for Zeolite Code NES.at n=19A008211
- Theta series of {D_6}* lattice.at n=18A008425
- Theta series of direct sum of 2 copies of b.c.c. lattice.at n=36A008665
- Numbers n such that n^2 and n have same last 2 digits.at n=35A008852
- Expansion of e.g.f. exp(sinh(log(1+x))).at n=8A009218
- Coordination sequence T1 for Zeolite Code AHT.at n=20A009866