8,749,313

823 × 10631

Starting at 8,749,313, the Collatz iteration reaches 1 after 137 steps. The first transition is 26247940; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 823 × 10631

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,760,768

Proper Divisor Sum 11,455

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8749309 ← → #8749331

Radix Representation

Decimal	8749313
Binary	100001011000000100000001 (24 bits)
Octal	0o41300401
Hexadecimal	0x858101

Divisor Catalog (4)

1 823 10,631 8,749,313

Collatz Trajectory (137 steps to reach 1)

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

8,749,313 26,247,940 13,123,970 6,561,985 19,685,956 9,842,978 4,921,489 14,764,468 7,382,234 3,691,117 11,073,352 5,536,676 2,768,338 1,384,169 4,152,508 2,076,254 1,038,127 3,114,382 1,557,191 4,671,574 2,335,787 7,007,362 3,503,681 10,511,044 5,255,522 2,627,761 7,883,284 3,941,642 1,970,821 5,912,464 2,956,232 1,478,116 739,058 369,529 1,108,588 554,294 277,147 831,442 415,721 1,247,164 623,582 311,791 935,374 467,687 1,403,062 701,531 2,104,594 1,052,297 3,156,892 1,578,446 789,223 2,367,670 1,183,835 3,551,506 1,775,753 5,327,260 2,663,630 1,331,815 3,995,446 1,997,723

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