4873
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5328
- Proper Divisor Sum (Aliquot Sum)
- 455
- 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
- 4420
- Möbius Function
- 1
- Radical
- 4873
- 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
- 121
- 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
- Centered 12-gonal numbers, or centered dodecagonal numbers: numbers of the form 6*k*(k-1) + 1.at n=28A003154
- Numbers k such that the continued fraction for sqrt(k) has period 90.at n=3A020429
- Expansion of (1+x^2-x^3)/(1-x)^4.at n=28A027378
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=8A031814
- Numbers whose set of base-8 digits is {1,4}.at n=34A032820
- Base-8 palindromes that start with 1.at n=30A043021
- Numbers having four 1's in base 8.at n=19A043428
- 23-gonal numbers: a(n) = n(21n-19)/2.at n=22A051875
- Sum of composite numbers up to n is palindromic.at n=10A057959
- a(n) is the (n+1)st (n+2)-gonal number.at n=21A064808
- Numbers n for which there are exactly six k such that n = k + reverse(k).at n=27A072430
- a(0) = 1, a(1) = 1; for n>0, a(2*n) = 3*a(2n-1), a(2*n+1) = 3*a(2*n) - 2*a(n-1).at n=9A102877
- a(0)=1; for n>0, a(n) = a(n-1) S prime(n), where S is + if n is odd and a(n-1) is even, x if n is odd and a(n-1) is odd, - if n is even and a(n-1) is even, + if n is even and a(n-1) is odd.at n=49A109738
- a(n) = (A102877(n+1) - A102877(n))/2.at n=9A111017
- a(n) = a(n-1) + a(n-2) + 7 where a(0) = a(1) = 1.at n=14A111733
- Semiprimes a such that there exist three semiprimes b, c and d with a^3=b^3+c^3+d^3.at n=30A113490
- sigma(n) + n is a square.at n=16A114069
- a(n) = floor(n^(n/3)/n!!!).at n=30A114863
- Square array, read by antidiagonals, where row n equals the crystal ball sequence for the 2*n-dimensional lattice A_n x A_n.at n=52A143007
- Square array, read by antidiagonals, where row n equals the crystal ball sequence for the 2*n-dimensional lattice A_n x A_n.at n=47A143007