8371
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
- 4
- Divisor Sum
- 9144
- Proper Divisor Sum (Aliquot Sum)
- 773
- 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
- 7600
- Möbius Function
- 1
- Radical
- 8371
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 39
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(n*phi^12), where phi is the golden ratio, A001622.at n=26A004927
- Positive integers n such that 2^n == 2^11 (mod n).at n=74A015935
- Ceiling of Gamma(n+1/7)/Gamma(1/7).at n=9A020124
- Strong pseudoprimes to base 67.at n=8A020293
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 91.at n=7A031589
- Denominators of continued fraction convergents to sqrt(235).at n=4A041439
- Denominators of continued fraction convergents to sqrt(940).at n=8A042819
- Number of 3 X 3 integer matrices with elements in the range [ -n,n ] which generate a group of order two under binary matrix multiplication.at n=5A054466
- Numbers k such that k | sigma_6(k) + phi(k)^6.at n=13A055700
- Numbers k such that A048138(k) is a prime and sets a new record for such primes.at n=28A064440
- Sum of the second moments of all partitions of n with weights starting from 0.at n=13A066188
- Centered 18-gonal numbers.at n=30A069131
- a(n) = n^4 + 2*n^3 + 4*n^2 + 3*n + 1 = ((n+1)^5+n^5) / (2*n+1).at n=9A072025
- a(n) = 4*n^2 + 6*n + 1.at n=45A082108
- Numbers of the form k^2 - k - 1 whose digit sum is also a number of the form k^2 - k - 1.at n=34A117746
- Partial sums of A003325.at n=31A139211
- Number of 3-element nondividing subsets of {1, 2, ..., n}.at n=39A187490
- Number of (n+1) X (n+1) -5..5 symmetric matrices with every 2 X 2 subblock having sum zero and one or two distinct values.at n=15A211329
- Diagonal sums of triangle A096815.at n=26A212264
- Numbers n such that the sum of the numbers in the Collatz (3x+1) iteration of n is a perfect square.at n=29A225866