15193
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15194
- 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
- 15192
- Möbius Function
- -1
- Radical
- 15193
- 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
- 71
- 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
- 1774
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 5x + 2.at n=21A023283
- a(1) = 2; a(n) is the smallest prime > a(n-1) such that a(n) + a(n-1) is a cube.at n=4A062066
- Numbers k such that (72*10^(k-1) - 27)/9 is a plateau prime.at n=9A082716
- Primes of the form 210k + 73.at n=38A140857
- Primes congruent to 12 mod 47.at n=40A142363
- Primes congruent to 35 mod 53.at n=33A142565
- Primes congruent to 30 mod 59.at n=30A142757
- Primes congruent to 4 mod 61.at n=31A142802
- Primes p such that p+p^2+p^3-+2 are also prime.at n=24A154821
- Triangle read by rows:e(n,k)=Sum[(-1)^j Binomial[n + 1, j](k + 1 - j)^n, {j, 0, k + 1}]; t(n,m)=(e[n + 1, m]*PartitionsQ[n] + e[n + 1, n - m]*(PartitionsQ[ n - m] + PartitionsQ[m])) - 2.at n=46A156225
- Primes that can be written as a sum of a positive square and a positive cube in more than one way.at n=30A162930
- Sum of a positive square and a positive cube in at least three ways.at n=24A171385
- Smallest prime(k) such that the concatenation prime(k)//prime(k+1)//...//prime(k+n-1) represents an emirp.at n=7A173448
- Conjectured positive numbers which have more than one representation (m,s) as a difference s^2 - m^5, m >= 1, s > 0.at n=33A177770
- Odd primes which can never divide 2^a+2^b+1.at n=25A179113
- Parameters n for which the elliptic curve y^2=x^3+n has rank 4.at n=19A179124
- Primes that can be written as a sum of a positive square and a positive cube in more than two ways.at n=3A206606
- Partial sums of A247666.at n=48A253767
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 233", based on the 5-celled von Neumann neighborhood.at n=27A270978
- Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic nonresidues mod p that are > p/2.at n=15A282042