12347
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12348
- 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
- 12346
- Möbius Function
- -1
- Radical
- 12347
- 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
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1475
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of achiral rooted trees.at n=25A003241
- Number of ordered triples of integers from [ 2,n ] with no global factor.at n=43A015633
- Primes that remain prime through 3 iterations of function f(x) = 4x + 3.at n=30A023281
- Primes that remain prime through 3 iterations of function f(x) = 10x + 9.at n=33A023301
- Primes which are not the sum of consecutive composite numbers.at n=35A037174
- Numbers (with nonzero digits only) where A046810 increases.at n=9A046811
- Smallest number m with nonzero digits such that A046810(m)=n.at n=25A046813
- a(n) is the least integer that has exactly n anagrams that are primes.at n=25A046890
- a(n) is the least number with exactly n permutations of digits that are primes.at n=25A046893
- a(1) = 2; for n > 1, a(n) is the smallest prime > a(n-1) such that each successive digit in the concatenation of terms (that does not follow 9) is greater than the previous digit.at n=11A068827
- Smallest n-digit prime with strictly increasing digits.at n=4A071362
- Largest eigenvalue, rounded to the nearest integer, of a rank n matrix of 1..n^2 filled successively along rows.at n=28A072333
- Smallest prime > the concatenation of the first n natural numbers.at n=4A074365
- Primes in A058633.at n=42A080822
- a(1)= 7, a(n) = least prime obtained by prefixing the digits of a multiple of n to a(n-1).at n=3A088057
- Number of partitions of the n-th decimal palindrome into distinct decimal palindromes.at n=40A091585
- Primes that represent some mean of 4 consecutive (2 smaller, itself, 1 larger) primes.at n=30A094932
- a(n) = floor(7^n/5^n).at n=28A094984
- a(0)=0; a(1)=2. Slowest increasing sequence where every digit "d" has a copy of itself in a(n+d).at n=19A102150
- Primes p such that 2*p +/- 3 and 8*p +/- 3 are all primes.at n=11A106022