6,788,028

2² × 3 × 13 × 53 × 821

6,788,028 is even and not a perfect square. Its factorization is 2^2 × 3 × 13 × 53 × 821 and its 48 divisors sum to 17,400,096.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 53 × 821

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,400,096

Proper Divisor Sum 10,612,068

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6788021 ← → #6788053

Radix Representation

Decimal	6788028
Binary	11001111001001110111100 (23 bits)
Octal	0o31711674
Hexadecimal	0x6793BC

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 821 1,378 1,642 2,067 2,463 2,756 3,284 4,134 4,926 8,268 9,852 10,673 21,346 32,019 42,692 43,513 64,038 87,026 128,076 130,539 174,052 261,078 522,156 565,669 1,131,338 1,697,007 2,262,676 3,394,014 6,788,028

Collatz Trajectory (253 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,788,028 3,394,014 1,697,007 5,091,022 2,545,511 7,636,534 3,818,267 11,454,802 5,727,401 17,182,204 8,591,102 4,295,551 12,886,654 6,443,327 19,329,982 9,664,991 28,994,974 14,497,487 43,492,462 21,746,231 65,238,694 32,619,347 97,858,042 48,929,021 146,787,064 73,393,532 36,696,766 18,348,383 55,045,150 27,522,575 82,567,726 41,283,863 123,851,590 61,925,795 185,777,386 92,888,693 278,666,080 139,333,040 69,666,520 34,833,260 17,416,630 8,708,315 26,124,946 13,062,473 39,187,420 19,593,710 9,796,855 29,390,566 14,695,283 44,085,850 22,042,925 66,128,776 33,064,388 16,532,194 8,266,097 24,798,292 12,399,146 6,199,573 18,598,720 9,299,360

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