12373
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12374
- 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
- 12372
- Möbius Function
- -1
- Radical
- 12373
- 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
- 125
- 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
- 1476
- 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 51.at n=19A020390
- Number of partitions of n that do not contain 6 as a part.at n=36A027340
- Numbers whose base-5 representation contains exactly three 3's and three 4's.at n=6A045307
- Primes at which the difference pattern X42Y (X and Y >= 6) occurs in A001223.at n=29A052164
- Records in A079372.at n=13A079373
- Smallest prime with memory = n.at n=8A079397
- Primes such that successive differences are distinct palindromes.at n=36A087582
- Primes arising as A093929(n)*A093929(n+1)+2.at n=25A093930
- Initial members of 25 consecutive primes in a 5 X 5 spiral wherein the mean of all 12 sums is prime.at n=27A094458
- Triangle read by rows: T(n,k) is the number of deco polyominoes of height n and having k 2-cell columns (n>=1; 0<=k<=n-1). A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column.at n=30A121637
- Primes of the form 256 k + 85.at n=13A127593
- Primes p such that p*q-p-q and p*q+p+q are prime where q=nextprime(p).at n=27A128548
- Primes congruent to 32 mod 41.at n=36A142229
- Primes congruent to 32 mod 43.at n=30A142281
- Primes congruent to 12 mod 47.at n=32A142363
- Primes congruent to 25 mod 49.at n=31A142435
- Primes congruent to 24 mod 53.at n=22A142554
- Primes congruent to 53 mod 55.at n=39A142639
- Primes congruent to 4 mod 57.at n=38A142667
- Primes congruent to 42 mod 59.at n=26A142769