15373
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
- 15374
- 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
- 15372
- Möbius Function
- -1
- Radical
- 15373
- 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
- 146
- 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
- 1796
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that divide at least one term of Sylvester's sequence s = A000058: s(n+1) = s(n)^2 - s(n) + 1, s(0) = 2.at n=28A007996
- Primes that remain prime through 3 iterations of function f(x) = 10x + 9.at n=37A023301
- Primes of form k^2 - 3.at n=22A028874
- First term of weak prime sextet: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3) < p(m+5)-p(m+4).at n=4A054828
- First term of weak prime septet: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3) < p(m+5)-p(m+4) < p(m+6)-p(m+5).at n=0A054834
- Primes p for which the period of reciprocal 1/p is (p-1)/12.at n=18A056217
- Primes p such that x^61 = 2 has no solution mod p.at n=31A059230
- Start of the first run of exactly n consecutive primes, none of which are twin primes.at n=20A065044
- Triangle read by rows in which the n-th row contains the least set of n successive primes whose successive difference forms an arithmetic progression with common difference 2, (successive even numbers).at n=21A094749
- Primes p such that the p-1 digits of the binary expansion of k/p (for k=1,2,3,...,p-1) fit into the k-th row of a magic square grid of order p-1.at n=11A096339
- a(n) = n^6 - 63*n + 63, with n*a(n) + n*(n-1)*63 = n^7.at n=4A107256
- Primes and their indices such that when their respective SOD's are both prime, the SOD of the index is the nextprime of the prime SOD.at n=25A117458
- Prime numbers p such that p +- ((p-1)/2) are primes.at n=35A137702
- Prime numbers p such that p +- ((p-1)/7) are primes.at n=11A137770
- Primes of the form 210k + 43.at n=37A140849
- Primes congruent to 22 mod 43.at n=40A142271
- Primes congruent to 4 mod 47.at n=35A142356
- Primes congruent to 36 mod 49.at n=40A142444
- Primes congruent to 33 mod 59.at n=32A142760
- Primes p such that p1=Floor[p/2]+p is prime and p2=Ceiling[p1/2]+p1 is prime.at n=32A158712