8501
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8502
- 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
- 8500
- Möbius Function
- -1
- Radical
- 8501
- 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
- 127
- 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
- 1060
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/5.at n=22A001135
- Numbers k such that the continued fraction for sqrt(k) has period 9.at n=43A010339
- Primes that remain prime through 3 iterations of function f(x) = 2x + 9.at n=20A023276
- Primes that are palindromic in base 7.at n=28A029975
- Number of partitions satisfying cn(1,5) + cn(4,5) <= cn(2,5) and cn(1,5) + cn(4,5) <= cn(3,5).at n=43A039876
- Numbers whose base-7 representation contains exactly four 3's.at n=22A043408
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=29A050666
- Second term of strong prime 5-tuples: p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2).at n=24A054809
- Primes of form 100*k + 1.at n=26A062800
- Heights of peaks of more than 8000 meters (as of Sep 25 2001), in decreasing order.at n=3A064296
- Primes p such that x^5 = 2 has a solution mod p, but x^(5^2) = 2 has no solution mod p.at n=5A070182
- a(1) = 1, a(n) = prime equal to n-th partial sum of A073852.at n=9A073854
- a(n) = smallest prime > n*prime(n).at n=43A079779
- Primes p such that 2^p-1 and the p-th Fibonacci number have a common factor. Prime terms of A074776.at n=1A080050
- Primes in A058633.at n=32A080822
- Primes p having exactly one partition into distinct divisors of p+1.at n=28A085499
- Lower triangular matrix, read by rows: T(i,j) = number of ways i seats can be occupied by any number k (0<=k<=j<=i) of persons.at n=48A086885
- Smallest prime x > n such that x (mod n) = x (mod prime(n)).at n=43A091313
- Fundamental discriminants of real quadratic number fields with class number 5.at n=40A094614
- Smallest prime having exactly n representations as a^2+b^2+c^2 with c >= b >= a > 0.at n=37A094714