12283
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12528
- Proper Divisor Sum (Aliquot Sum)
- 245
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12040
- Möbius Function
- 1
- Radical
- 12283
- 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
- 68
- 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 period of the continued fraction for sqrt(k) contains exactly 25 ones.at n=5A031793
- Multiplicity of highest weight (or singular) vectors associated with character chi_6 of Monster module.at n=46A034394
- Sums of 12 distinct powers of 2.at n=22A038463
- Number of configurations, excluding reflections and black-white interchanges, of n black and n white beads on a string.at n=9A045723
- a(n) = 6*2^n - 5.at n=11A048488
- Number of integers k not exceeding 2^n such that the cube of number of divisors [A000005(k)] is larger than k.at n=18A056764
- Numbers k such that sopf(k) = 2*sopf(k+1), where sopf(k) = A008472.at n=18A064112
- Numbers m such that the positive values of m - A002110(k) are all primes (k > 0).at n=34A068372
- Sequence of sums of alternating increasing powers of 2.at n=22A079360
- a(n) = 8*n^2 + 88*n + 43.at n=34A086760
- Expansion of (1-4x+12x^2-16x^3+8x^4)/(1-x)^5.at n=24A119327
- a(n)=-a(n-1)+4*a(n-2)+4*a(n-3).at n=13A136249
- Semiprimes whose factors are decimal palindromes when concatenated, omitting multiples of primes less than 11.at n=33A144719
- Number of permutations of length 2n+1 which are invariant under the reverse-complement map and have no decreasing subsequences of length 5.at n=6A145845
- G.f.: A(x) = exp( Sum_{n>=1} (Sum_{k=0..n} C(n,k)^4*A(x)^k) * x^n/n ).at n=5A192204
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+161)^2 = y^2.at n=25A206426
- Number of partitions of n in which any two parts differ by at most 6.at n=45A218508
- Odd numbers n such that the sum of the binary digits of n and n^2 both equal 12.at n=8A261593
- List of numbers n whose base-3 expansion contains only the digits 1 and 2 and whose base-4 expansion contains only the digits 2 and 3.at n=13A262963
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 35", based on the 5-celled von Neumann neighborhood.at n=26A269816