8713
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8714
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8712
- Möbius Function
- -1
- Radical
- 8713
- 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
- 140
- 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
- 1086
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18-x^19).at n=70A017895
- Numbers k such that the continued fraction for sqrt(k) has period 33.at n=24A020372
- a(n) = (d(n)-r(n))/5, where d = A026049 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=46A026051
- Expansion of 1/((1-2x)(1-7x)(1-8x)(1-12x)).at n=3A028008
- Number of primes less than 10000n.at n=8A038813
- Numbers n such that n^2 - 1 is expressible as the sum of two nonzero squares in exactly one way.at n=29A050797
- Primes p from A031924 such that A052180(p) = 23.at n=8A052238
- Primes p such that x^18 = 2 has no solution mod p, but x^6 = 2 has a solution mod p.at n=18A059664
- Primes p such that x^54 = 2 has no solution mod p, but x^6 = 2 has a solution mod p.at n=19A059665
- Primes p such that x^36 = 2 has no solution mod p, but x^12 = 2 has a solution mod p.at n=13A059668
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 9 (most significant digit on right).at n=6A061962
- Prime(n) and prime(n+2) use the same digits.at n=13A069794
- Primes p such that x^3 = 2 has a solution mod p, but x^(3^2) = 2 has no solution mod p.at n=41A070180
- Primes of the form m*rad(m)+1, where rad = A007947 (squarefree kernel).at n=29A078324
- Third row of Pascal-(1,3,1) array A081578.at n=33A081585
- a(n) = L(n) + 2^n where L(n) = A000032(n) (the Lucas numbers).at n=13A088859
- Numbers n such that numerator(Bernoulli(2*n)/(2*n)) is different from numerator(Bernoulli(2*n)/(2*n*(2*n+1))).at n=32A090177
- Primes of the form 8*k^2 + 1.at n=5A090685
- Primes of the form 2*n^2+1.at n=12A090698
- Indices of primes of the form k^2 - 11.at n=40A091273