881
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 882
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 880
- Möbius Function
- -1
- Radical
- 881
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 116
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 152
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- achthunderteinundachtzig· ordinal: achthunderteinundachtzigste
- English
- eight hundred eighty-one· ordinal: eight hundred eighty-first
- Spanish
- ochocientos ochenta y uno· ordinal: 881º
- French
- huit cent quatre-vingt-un· ordinal: huit cent quatre-vingt-unième
- Italian
- ottocentoottantuno· ordinal: 881º
- Latin
- octingenti octoginta unus· ordinal: 881.
- Portuguese
- oitocentos e oitenta e um· ordinal: 881º
Appears in sequences
- Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B_2, B_4, ..., B_{p-3} (A000367) is divisible by p.at n=59A000928
- Primes with 3 as smallest primitive root.at n=36A001123
- Lesser of twin primes.at n=34A001359
- Artiads: the primes p == 1 (mod 5) for which Fibonacci((p-1)/5) is divisible by p.at n=6A001583
- Numbers k such that phi(k+2) = phi(k) + 2.at n=53A001838
- Cyclic numbers: 10 is a quadratic residue modulo p and class of mantissa is 2.at n=47A001914
- a(n) = least primitive factor of 2^(2n+1) - 1.at n=27A002184
- Numbers k such that (k^2 + k + 1)/19 is prime.at n=27A002643
- Quartan primes: primes of the form x^4 + y^4, x > 0, y > 0.at n=6A002645
- Number of rooted trees with n vertices in which vertices at the same level have the same degree.at n=38A003238
- Numbers that are the sum of 2 positive 4th powers.at n=13A003336
- Numbers that are a sum of distinct positive cubes in more than one way.at n=24A003998
- Sums of distinct nonzero 4th powers.at n=23A003999
- Divisible only by primes congruent to 1 mod 5.at n=41A004615
- Divisible only by primes congruent to 6 mod 7.at n=28A004624
- Numbers divisible only by primes congruent to 1 mod 8.at n=35A004625
- Numbers that are the sum of at most 2 nonzero 4th powers.at n=19A004831
- Numbers that are the sum of at most 3 nonzero 4th powers.at n=45A004832
- a(n) = least integer m > a(n-1) such that m - a(n-1) != a(j) - a(k) for all j, k less than n; a(1) = 1, a(2) = 2.at n=29A004978
- Class 3- primes (for definition see A005109).at n=45A005111