8457
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11280
- Proper Divisor Sum (Aliquot Sum)
- 2823
- 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
- 5636
- Möbius Function
- 1
- Radical
- 8457
- 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
- 57
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 84.at n=25A020423
- 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 60.at n=38A031558
- Numbers n such that n = pi(n)*k + 1 for some k.at n=25A065136
- Numbers k such that (10^k - 1) - 4*10^floor(k/2) is a palindromic wing prime (a.k.a. near-repdigit palindromic prime).at n=4A077786
- Expansion of 1/(1-x-x^2+2*x^3).at n=45A077948
- a(0)=1, a(1)=3, a(n) = floor((Pi + 1/Pi)*a(n-1) - a(n-2)).at n=8A085839
- Numbers k such that if P = 10*k^2+1, then P, P+6, P+12 and P+18 are all primes.at n=27A092446
- Continued fraction expansion of the square of the constant (A100338) which has the continued fraction equal to A006519 (highest power of 2 dividing n).at n=6A100864
- Records in the continued fraction expansion A100864.at n=3A100865
- Values of x in x^2 - 49 = 2*y^2.at n=12A106525
- a(1) = floor(Pi) = 3; a(n+1) = floor(a(n)*Pi).at n=7A115239
- Partial sums of primes that are not Chen primes (starting with 1).at n=30A118483
- Odd integers that do not generate monotonically decreasing infinitary aliquot sequences.at n=20A127667
- a(0) = 1, a(n) = floor(a(n - 1)*Pi).at n=8A134915
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 10000-11100-00111-00001 pattern in any orientation.at n=13A147379
- Row 4 of table A162430.at n=18A162433
- Number of binary strings of length n with equal numbers of 00010 and 01101 substrings.at n=14A164219
- Number of distinct solutions of Sum_{i=1..2} (x(2i-1)*x(2i)) = 0 (mod n), with x() only in 1..n-1.at n=35A180773
- Number of n X 2 binary arrays with every 1 having exactly one king-move neighbor equal to 1.at n=10A183435
- 1/9 the number of (n+1) X 6 0..2 arrays with all 2 X 2 subblocks having the same four values.at n=11A184044