8254
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12384
- Proper Divisor Sum (Aliquot Sum)
- 4130
- 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
- 4126
- Möbius Function
- 1
- Radical
- 8254
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 171
- 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
- yes
- Odd
- no
Appears in sequences
- Values of k at which the period of the continued fraction for sqrt(k) sets a new record.at n=46A013645
- Numbers k such that k^2 is palindromic in base 16.at n=20A029733
- 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 90.at n=9A031588
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 82 ones.at n=0A031850
- Position of first occurrence of n in continued fraction for Copeland-Erdős constant.at n=56A033309
- Number of partitions satisfying 0 < cn(0,5) + cn(1,5) + cn(4,5).at n=32A039900
- Numbers which, when expressed as a sum of distinct primes with maximum product, use a non-maximal number of primes.at n=33A053020
- Number of reversible strings with n beads using exactly two different colors.at n=13A056309
- Three times partitioned numbers: the number of ways a number can be partitioned in (not necessarily different) parts and each part again so partitioned a second and a third time.at n=8A063835
- Numbers n such that phi(reverse(n)) = phi(reverse(n-1)) + phi(reverse(n-2)).at n=21A069969
- Vertical of triangular spiral in A051682.at n=42A081271
- Sums of (one or more distinct) k-perfect numbers.at n=36A083865
- a(n) = 8 + floor((2 + Sum_{j=1..n-1} a(j))/4).at n=31A120166
- Number of partitions of n with exactly one prime number.at n=40A132381
- Numbers k that divide the sum of the digits of k^k in base 2.at n=5A138572
- Indices in A146326 where records occur.at n=37A146345
- Partial sums of floor(2^n/127).at n=18A178460
- Number of strings of numbers x(i=1..5) in 0..n with sum i*x(i)^2 equal to n*25.at n=34A184444
- Least number k such that the continued fraction expansion of its square root contains the first n natural numbers.at n=12A187261
- a(n) = A122536(n) - A216958(n).at n=29A216960