8,043,273

3³ × 7 × 42557

8,043,273 factors as 3^3 × 7 × 42557. Its 16 positive divisors give a proper-divisor sum of 5,575,287, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 42557

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,618,560

Proper Divisor Sum 5,575,287

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8043271 ← → #8043323

Radix Representation

Decimal	8043273
Binary	11110101011101100001001 (23 bits)
Octal	0o36535411
Hexadecimal	0x7ABB09

Divisor Catalog (16)

1 3 7 9 21 27 63 189 42,557 127,671 297,899 383,013 893,697 1,149,039 2,681,091 8,043,273

Collatz Trajectory (124 steps to reach 1)

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

8,043,273 24,129,820 12,064,910 6,032,455 18,097,366 9,048,683 27,146,050 13,573,025 40,719,076 20,359,538 10,179,769 30,539,308 15,269,654 7,634,827 22,904,482 11,452,241 34,356,724 17,178,362 8,589,181 25,767,544 12,883,772 6,441,886 3,220,943 9,662,830 4,831,415 14,494,246 7,247,123 21,741,370 10,870,685 32,612,056 16,306,028 8,153,014 4,076,507 12,229,522 6,114,761 18,344,284 9,172,142 4,586,071 13,758,214 6,879,107 20,637,322 10,318,661 30,955,984 15,477,992 7,738,996 3,869,498 1,934,749 5,804,248 2,902,124 1,451,062 725,531 2,176,594 1,088,297 3,264,892 1,632,446 816,223 2,448,670 1,224,335 3,673,006 1,836,503

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