8,144,559

3² × 19 × 47629

Starting at 8,144,559, the Collatz iteration reaches 1 after 124 steps. The first transition is 24433678; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 19 × 47629

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,383,800

Proper Divisor Sum 4,239,241

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8144557 ← → #8144561

Radix Representation

Decimal	8144559
Binary	11111000100011010101111 (23 bits)
Octal	0o37043257
Hexadecimal	0x7C46AF

Divisor Catalog (12)

1 3 9 19 57 171 47,629 142,887 428,661 904,951 2,714,853 8,144,559

Collatz Trajectory (124 steps to reach 1)

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

8,144,559 24,433,678 12,216,839 36,650,518 18,325,259 54,975,778 27,487,889 82,463,668 41,231,834 20,615,917 61,847,752 30,923,876 15,461,938 7,730,969 23,192,908 11,596,454 5,798,227 17,394,682 8,697,341 26,092,024 13,046,012 6,523,006 3,261,503 9,784,510 4,892,255 14,676,766 7,338,383 22,015,150 11,007,575 33,022,726 16,511,363 49,534,090 24,767,045 74,301,136 37,150,568 18,575,284 9,287,642 4,643,821 13,931,464 6,965,732 3,482,866 1,741,433 5,224,300 2,612,150 1,306,075 3,918,226 1,959,113 5,877,340 2,938,670 1,469,335 4,408,006 2,204,003 6,612,010 3,306,005 9,918,016 4,959,008 2,479,504 1,239,752 619,876 309,938

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