6,127,804

2² × 19 × 80629

6,127,804 factors as 2^2 × 19 × 80629. Its 12 positive divisors give a proper-divisor sum of 5,160,396, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 80629

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,288,200

Proper Divisor Sum 5,160,396

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6127789 ← → #6127831

Radix Representation

Decimal	6127804
Binary	10111011000000010111100 (23 bits)
Octal	0o27300274
Hexadecimal	0x5D80BC

Divisor Catalog (12)

1 2 4 19 38 76 80,629 161,258 322,516 1,531,951 3,063,902 6,127,804

Collatz Trajectory (165 steps to reach 1)

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

6,127,804 3,063,902 1,531,951 4,595,854 2,297,927 6,893,782 3,446,891 10,340,674 5,170,337 15,511,012 7,755,506 3,877,753 11,633,260 5,816,630 2,908,315 8,724,946 4,362,473 13,087,420 6,543,710 3,271,855 9,815,566 4,907,783 14,723,350 7,361,675 22,085,026 11,042,513 33,127,540 16,563,770 8,281,885 24,845,656 12,422,828 6,211,414 3,105,707 9,317,122 4,658,561 13,975,684 6,987,842 3,493,921 10,481,764 5,240,882 2,620,441 7,861,324 3,930,662 1,965,331 5,895,994 2,947,997 8,843,992 4,421,996 2,210,998 1,105,499 3,316,498 1,658,249 4,974,748 2,487,374 1,243,687 3,731,062 1,865,531 5,596,594 2,798,297 8,394,892

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