8,522,728

2³ × 37 × 28793

8,522,728 factors as 2^3 × 37 × 28793. Its 16 positive divisors give a proper-divisor sum of 7,889,852, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 28793

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,412,580

Proper Divisor Sum 7,889,852

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8522713 ← → #8522741

Radix Representation

Decimal	8522728
Binary	100000100000101111101000 (24 bits)
Octal	0o40405750
Hexadecimal	0x820BE8

Divisor Catalog (16)

1 2 4 8 37 74 148 296 28,793 57,586 115,172 230,344 1,065,341 2,130,682 4,261,364 8,522,728

Collatz Trajectory (230 steps to reach 1)

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

8,522,728 4,261,364 2,130,682 1,065,341 3,196,024 1,598,012 799,006 399,503 1,198,510 599,255 1,797,766 898,883 2,696,650 1,348,325 4,044,976 2,022,488 1,011,244 505,622 252,811 758,434 379,217 1,137,652 568,826 284,413 853,240 426,620 213,310 106,655 319,966 159,983 479,950 239,975 719,926 359,963 1,079,890 539,945 1,619,836 809,918 404,959 1,214,878 607,439 1,822,318 911,159 2,733,478 1,366,739 4,100,218 2,050,109 6,150,328 3,075,164 1,537,582 768,791 2,306,374 1,153,187 3,459,562 1,729,781 5,189,344 2,594,672 1,297,336 648,668 324,334

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