12739
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
- 12740
- 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
- 12738
- Möbius Function
- -1
- Radical
- 12739
- 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
- 107
- 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
- 1520
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Consider all ways of writing a number as p+2m^2 where p is 1 or a prime and m >= 0; sequence gives numbers that are expressible in at least 2 more ways than any smaller number.at n=12A016067
- Primes that remain prime through 3 iterations of function f(x) = 5x + 8.at n=21A023286
- Palindromic primes in base 8.at n=29A029976
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 76 ones.at n=11A031844
- Trajectory of 20 under prime factor concatenation procedure.at n=15A037926
- Base 8 palindromes that start with 3.at n=25A043023
- Discriminants of imaginary quadratic fields with class number 23 (negated).at n=28A046020
- Primes with multiplicative persistence value 5.at n=26A046505
- Smallest integer that can be expressed as p+2m^2 in more ways than any smaller number, where m >= 0 and p = 1 or prime.at n=33A055202
- a(n) is the least prime p, such that next_prime(2*p) - 2*p = 2*n - 1.at n=22A059846
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 4 (most significant digit on right).at n=11A061957
- Primes p such that (3*p)^2 + p^2 + 3^2 and (3*p)^2 - p^2 - 3^2 are both prime.at n=35A079796
- a(n)=12*sum(1<=i<=j<=k<=n,i*j/k).at n=12A088941
- Primes which are also prime if their base 64 representation is interpreted as a base 10 number.at n=34A090717
- Primes congruent to 11 mod 37.at n=38A142120
- Primes congruent to 29 mod 41.at n=37A142226
- Primes congruent to 11 mod 43.at n=38A142260
- Primes congruent to 2 mod 47.at n=29A142355
- Primes congruent to 48 mod 49.at n=35A142455
- Primes congruent to 19 mod 53.at n=33A142549