829
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 830
- 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
- 828
- Möbius Function
- -1
- Radical
- 829
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 90
- 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
- 145
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- achthundertneunundzwanzig· ordinal: achthundertneunundzwanzigste
- English
- eight hundred twenty-nine· ordinal: eight hundred twenty-ninth
- Spanish
- ochocientos veintinueve· ordinal: 829º
- French
- huit cent vingt-neuf· ordinal: huit cent vingt-neufième
- Italian
- ottocentoventinove· ordinal: 829º
- Latin
- octingenti viginti novem· ordinal: 829.
- Portuguese
- oitocentos e vinte e nove· ordinal: 829º
Appears in sequences
- Numbers beginning with letter 'e' in English.at n=42A000873
- Primes p of the form 3k+1 such that Sum_{x=1..p} cos(2*Pi*x^3/p) > sqrt(p).at n=36A000921
- From a Goldbach conjecture: records in A185091.at n=17A002092
- Number of integral points in a certain sequence of open quadrilaterals.at n=45A002578
- Numbers that are the sum of 10 positive 5th powers.at n=33A003355
- Divisible only by primes congruent to 4 mod 5.at n=36A004618
- Divisible only by primes congruent to 3 mod 7.at n=48A004621
- Class 3+ primes (for definition see A005105).at n=49A005107
- Class 4- primes (for definition see A005109).at n=16A005112
- Primes p such that 2p-1 is also prime.at n=30A005382
- Centered triangular numbers: a(n) = 3*n*(n-1)/2 + 1.at n=23A005448
- Greater of twin primes.at n=32A006512
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=5A007354
- Primes of the form 8k + 5.at n=38A007521
- Primes of form n^2 + n + 17.at n=24A007635
- Primes of the form 2*k^2 + 29.at n=20A007641
- Smallest odd number expressible in at least n ways as p+2*m^2 where p is 1 or a prime and m >= 0.at n=15A007697
- Coordination sequence T1 for Zeolite Code MEI.at n=21A008146
- Coordination sequence T4 for Zeolite Code MFS.at n=18A008176
- Coordination sequence T1 for Zeolite Code PAU.at n=21A008219