15671
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15672
- 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
- 15670
- Möbius Function
- -1
- Radical
- 15671
- 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
- 58
- 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
- 1829
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers whose base-5 representation contains exactly three 0's and three 1's.at n=15A045172
- Primes p whose reciprocal has period (p-1)/10.at n=24A056215
- G.f.: x^2*(x-1)^8/(4*x^9+x^8-79*x^7+166*x^6-225*x^5+206*x^4-129*x^3+50*x^2-11*x+1).at n=9A061706
- Least k such that the class number of quadratic order of discriminant D=-4k equals p, where p runs through the primes.at n=38A079029
- Numbers k such that 11k = 6j^2 + 6j + 1.at n=30A106388
- Primes for which the weight as defined in A117078 is 23.at n=36A119504
- Primes congruent to 20 mod 47.at n=39A142371
- Primes congruent to 36 mod 53.at n=31A142566
- Primes congruent to 51 mod 55.at n=39A142637
- Primes congruent to 36 mod 59.at n=29A142763
- Primes congruent to 55 mod 61.at n=32A142853
- Primes p such that (p-1)*p*(p+1)-p-2 and (p-1)*p*(p+1)+p+2 are primes.at n=22A154942
- a(n) = Sum_{d|n} C(n,d)*sigma(d).at n=11A179305
- Primes of the form 5n^2 - 9.at n=10A201790
- a(n) = largest Ramanujan prime R_k in A104272 that is <= A002386(n).at n=11A214756
- Primes of the form (p+q)^2 + pq, where p and q are consecutive primes.at n=9A252231
- Number of pairs (lambda,mu) of partitions lambda of n and mu of six with mu <= lambda (by diagram containment).at n=18A303856
- a(n) is the number of distinct triangles whose sides do not pass through a grid point and whose vertices are three points of an n X n grid.at n=28A372217
- Primes p such that 1..12 are quadratic residues modulo p.at n=41A377476
- Prime numbersat n=1829