13229
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13230
- 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
- 13228
- Möbius Function
- -1
- Radical
- 13229
- 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
- 76
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1573
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of form k^2 + 4.at n=22A005473
- Supersingular primes of the elliptic curve X_0 (11).at n=18A006962
- a(n) = T(2n+1,n+3), T given by A026736.at n=6A026856
- Initial primes of Cunningham chains of first type with length exactly 3. Primes in A059453 that survive as primes just two "2p+1 iterations", forming chains of exactly 3 terms.at n=31A059762
- Smallest prime of the form prime(k) concatenated with prime(k+n).at n=43A089782
- Balanced primes of order five.at n=30A096697
- Numbers p such that p = (prime(n)+ prime(n+3))/2 is prime for prime indices n=2, 3, 5...at n=20A098039
- Primes of the form n^2 + 4n + 8.at n=21A098062
- Primes not of the form floor(k + (1/2)*log(k)^2).at n=9A099937
- Primes p such that 2p+1, 4p+3, 6p+5 are all primes.at n=13A107020
- Larger of two consecutive Sophie Germain primes with the same digital sum.at n=31A118507
- Intersection of A061068 and A064270.at n=31A128996
- Primes congruent to 27 mod 41.at n=36A142224
- Primes congruent to 22 mod 47.at n=37A142373
- Primes congruent to 48 mod 49.at n=37A142455
- Primes congruent to 32 mod 53.at n=26A142562
- Primes congruent to 13 mod 59.at n=30A142740
- Primes congruent to 53 mod 61.at n=25A142851
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (0, 1, 1), (1, -1, 1), (1, 0, -1), (1, 0, 1)}.at n=7A150855
- a(n) = 441*n - 1.at n=29A158319