8461
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 8462
- 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
- 8460
- Möbius Function
- -1
- Radical
- 8461
- 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
- 83
- 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
- 1058
- 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=21A001135
- Sextan primes: p = (x^6 + y^6)/(x^2 + y^2).at n=17A002647
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=44A007354
- Numbers k such that the continued fraction for sqrt(k) has period 29.at n=21A020368
- Primes that remain prime through 3 iterations of function f(x) = 2x + 9.at n=19A023276
- Primes that remain prime through 4 iterations of function f(x) = 2x + 9.at n=8A023306
- Primes of form k^2 - 3.at n=17A028874
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 9.at n=17A031422
- Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 3 (mod 5).at n=46A035567
- Number of partitions of n with equal nonzero number of parts congruent to each of 3 and 4 (mod 5).at n=43A035571
- Row 4 of square array defined in A047671.at n=9A047673
- Primes of the form 2*n^2 + 11.at n=35A050265
- Primes p such that x^47 = 2 has no solution mod p.at n=25A059257
- Third row of number array A082105.at n=45A082109
- Diagonal of A088262.at n=24A088263
- Indices of primes in sequence defined by A(0) = 81, A(n) = 10*A(n-1) + 11 for n > 0.at n=6A101061
- Prime numbers p such that p+6 and p^2+6^2 are both primes.at n=37A107442
- Primes connected to two primes by the (p+1)/2 and 2p-1 operators.at n=22A109835
- Small-number statistic from the enumeration of domino tilings of a 9-pillow of order n.at n=14A112844
- Number of ordered triples (i,j,k) in range [0..n] satisfying i == j mod 2 and j == k mod 3.at n=36A115520