12619
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12620
- 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
- 12618
- Möbius Function
- -1
- Radical
- 12619
- 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
- 63
- 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
- 1508
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+5 or 24k-5. Also number of partitions in which no odd part is repeated, with at most 2 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=51A036031
- Number of orbits of length n under the map whose periodic points are counted by A001642.at n=20A060167
- The first of two consecutive primes with equal digital sums.at n=28A066540
- Number of ways to tile a 4 X n room with 1x2 Tatami mats. At most 3 Tatami mats may meet at a point.at n=52A068923
- Primes which are sandwiched between two numbers having the same unordered canonical form.at n=36A074460
- a(n), for n > 1, equals the least prime p such that p - a(n-1) is a cube, a(1)=2.at n=17A076201
- Primes that represent some mean of 4 consecutive (2 smaller, itself, 1 larger) primes.at n=32A094932
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 12.at n=10A095673
- Beginning with 2, least prime not occurring earlier such that the concatenation of first n terms has the least prime factor prime(n).at n=41A100759
- Primes p = prime(i) of level (1,3), i.e., such that A118534(i) = prime(i-3).at n=22A118467
- Primes of the form 210k + 19.at n=33A140843
- List of different primes in Pascal-like triangles with index of asymmetry y = 1 and index of obliquity z = 0 or z = 1.at n=14A141064
- Primes congruent to 2 mod 37.at n=41A142112
- Primes congruent to 32 mod 41.at n=37A142229
- Primes congruent to 20 mod 43.at n=37A142269
- Primes congruent to 23 mod 47.at n=31A142374
- Primes congruent to 26 mod 49.at n=38A142436
- Primes congruent to 5 mod 53.at n=27A142535
- Primes congruent to 24 mod 55.at n=37A142618
- Primes congruent to 52 mod 59.at n=27A142779