12829
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12830
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12828
- Möbius Function
- -1
- Radical
- 12829
- 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
- 50
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1530
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 49.at n=16A020388
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 8.at n=26A031421
- Primes p such that p, p+12, p+24 are consecutive primes.at n=9A052188
- Smallest prime followed by three gaps that are multiples of 2n.at n=5A054701
- Primes such that prime(p) +- pi(p) are simultaneously prime.at n=25A065117
- Record entries in A065194.at n=9A065195
- Primes which are the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 + n_2 = n_3 (leading zeros are forbidden for nonzero n_i).at n=17A067860
- a(n) is the smallest prime p such that p and the next n-1 primes are all == 1 (mod 12).at n=3A068232
- Limit of A069258(k,n) = number of partitions of 2*k into k-n prime parts, as k tends to infinity.at n=40A069259
- Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero.at n=16A088291
- Primes arising as A093929(n)*A093929(n+1)+2.at n=32A093930
- List of triples of primes with common difference 12.at n=27A128312
- Primes of the form 210k + 19.at n=34A140843
- Primes congruent to 27 mod 37.at n=40A142136
- Primes congruent to 37 mod 41.at n=36A142234
- Primes congruent to 15 mod 43.at n=33A142264
- Primes congruent to 45 mod 47.at n=35A142396
- Primes congruent to 40 mod 49.at n=37A142448
- Primes congruent to 3 mod 53.at n=34A142533
- Primes congruent to 14 mod 55.at n=34A142611