12379
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
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12380
- 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
- 12378
- Möbius Function
- -1
- Radical
- 12379
- 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
- 68
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1478
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the Woodall number k*2^k - 1 is prime.at n=18A002234
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 76 ones.at n=10A031844
- Multiplicity of highest weight (or singular) vectors associated with character chi_162 of Monster module.at n=38A034550
- Numbers whose base-5 representation contains exactly two 0's and three 4's.at n=33A045213
- Primes with multiplicative persistence value 5.at n=25A046505
- Numbers (with nonzero digits only) where A046810 increases.at n=12A046811
- Smallest number m with nonzero digits such that A046810(m)=n.at n=36A046813
- Number of anagrams of a(n) that are prime increases.at n=16A046888
- a(n) is the least integer that has exactly n anagrams that are primes.at n=36A046890
- a(n) is the least number with exactly n permutations of digits that are primes.at n=36A046893
- First term of strong prime quintets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3).at n=31A054808
- Discriminants of imaginary quadratic fields with class number 25 (negated).at n=23A056987
- Prime lucky numbers k (from A031157) such that nextprime(k)=nextlucky(k).at n=21A057698
- a(n) gives smallest number requiring n iterations of the map i -> A053392(i) to reach zero.at n=33A060630
- Primeval numbers: numbers that set a record for the number of distinct primes that can be obtained by permuting some subset of their digits.at n=21A072857
- a(1) = 2, a(2) = 3; for n > 0, a(n+2) is the smallest prime chosen so that (a(n+2) - a(n+1))/(a(n+1) - a(n)) is an integer.at n=16A084736
- a(n) is the smallest integer m such that A039995(m)=n.at n=19A094535
- Primes that represent some mean of 4 consecutive (2 smaller, itself, 1 larger) primes.at n=31A094932
- -a(n) is inverse EULER transform of -A000041(n).at n=11A095975
- Primes such that the sum of the predecessor and successor primes is divisible by 43.at n=34A113158