841,509

3⁵ × 3463

Starting at 841,509, the Collatz iteration reaches 1 after 69 steps. The first transition is 2524528; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 3463

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,260,896

Proper Divisor Sum 419,387

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #841459 ← → #841541

Radix Representation

Decimal	841509
Binary	11001101011100100101 (20 bits)
Octal	0o3153445
Hexadecimal	0xCD725

Divisor Catalog (12)

1 3 9 27 81 243 3,463 10,389 31,167 93,501 280,503 841,509

Collatz Trajectory (69 steps to reach 1)

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

841,509 2,524,528 1,262,264 631,132 315,566 157,783 473,350 236,675 710,026 355,013 1,065,040 532,520 266,260 133,130 66,565 199,696 99,848 49,924 24,962 12,481 37,444 18,722 9,361 28,084 14,042 7,021 21,064 10,532 5,266 2,633 7,900 3,950 1,975 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26

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