4827
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6440
- Proper Divisor Sum (Aliquot Sum)
- 1613
- 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
- 3216
- Möbius Function
- 1
- Radical
- 4827
- 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
- 103
- 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 that are the sum of 4 positive 6th powers.at n=19A003360
- Numbers that are the sum of at most 4 nonzero 6th powers.at n=47A004855
- Expansion of 1/(1-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10).at n=27A017823
- 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 69.at n=7A031567
- Numbers whose set of base-8 digits is {1,3}.at n=37A032915
- Decimal part of cube root of n starts with 9: first term of runs.at n=15A034135
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 4 (mod 5).at n=53A035584
- a(n) = least number not of form [ (a^2/n) ] + [ (b^2)/n ].at n=16A036575
- Number of partitions satisfying cn(2,5) + cn(3,5) < cn(1,5) + cn(4,5).at n=31A039893
- Numbers having three 3's in base 8.at n=29A043435
- Numbers k such that k^2 contains only digits {2,3,9}.at n=4A053920
- Numbers n such that digits of n and the prime factorization of n are distinct and nonrepeating.at n=26A057885
- Numbers which have more different digits than their squares.at n=30A061277
- Pseudo-random numbers: MS C 6.0 version.at n=18A084275
- Ratio-determined insertion sequence I(0.26688) (see the link below).at n=6A085349
- Bisection of A088567.at n=46A088575
- Expansion of q^(-1/2)(eta(q^2)eta(q^10)/(eta(q)eta(q^5)))^2 in powers of q.at n=22A093830
- Number of fib000 primes (A095085) in range ]2^n,2^(n+1)].at n=17A095065
- Numbers k such that 3*R_k + 4 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=11A099411
- The sequence a[n]+b[n]+c[n]+d[n] defined in A126940.at n=7A126945