4728
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
- 16
- Divisor Sum
- 11880
- Proper Divisor Sum (Aliquot Sum)
- 7152
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1568
- Möbius Function
- 0
- Radical
- 1182
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- 59
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Number of self-avoiding walks on hexagonal lattice.at n=4A007201
- Coordination sequence T1 for Zeolite Code HEU.at n=45A008116
- Coordination sequence T3 for Zeolite Code LOV.at n=46A008136
- Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year.at n=24A014088
- a(n) = 1^2 + prime(1)^2 + prime(2)^2 + ... + prime(n)^2.at n=12A024525
- Numbers n such that 65*2^n-1 is prime.at n=23A050558
- Numbers k such that k^10 == 1 (mod 11^3).at n=36A056085
- Numbers n such that 2^n in base 3 has same number of 2's as 2^(n+1) in base 3 and 2^n and 2^(n+1) have the same number of digits in base 3.at n=43A056736
- Numbers k such that k^256 + 1 is prime.at n=16A056995
- a(1) = 1; a(n+1) = sum of terms in continued fraction for sum of continued fractions, [a(n); a(n-1), a(n-2),...,a(1)] and [0; a(n), a(n-1), a(n-2),...,a(1)].at n=11A058083
- Number of inequivalent (ordered) solutions to n^2 = sum of 7 squares of integers >= 0.at n=38A065461
- Number of permutations satisfying -k <= p(i) - i <= r and p(i) - i not in I, i=1..n, with k=3, r=3, I={1,2}.at n=13A079989
- Number of partitions of 2*n with no part divisible by 3 and all odd parts occurring with even multiplicities.at n=24A098151
- Number of compositions into a prime number of distinct parts.at n=25A102623
- Powers of e^(1/e) rounded up.at n=23A107586
- Numbers k such that k divides the sum of the digits of k^(2k).at n=18A108859
- Initial members of abundant quintuplets, i.e., values of k such that (k, k+2, k+4, k+6, k+8) are all abundant numbers.at n=1A108926
- Numbers k such that the k-th and (k+1)-th primes have the same sum of squares of digits.at n=15A109182
- Triangle, read by rows, where row n equals the inverse binomial transform of the column n in rectangular table A124550 (starting with row 1).at n=19A124568
- Numbers k such that A027612(k) is prime.at n=47A124879