9,838,129

7 × 31 × 45337

Starting at 9,838,129, the Collatz iteration reaches 1 after 282 steps. The first transition is 29514388; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 31 × 45337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,606,528

Proper Divisor Sum 1,768,399

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9838123 ← → #9838133

Radix Representation

Decimal	9838129
Binary	100101100001111000110001 (24 bits)
Octal	0o45417061
Hexadecimal	0x961E31

Divisor Catalog (8)

1 7 31 217 45,337 317,359 1,405,447 9,838,129

Collatz Trajectory (282 steps to reach 1)

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

9,838,129 29,514,388 14,757,194 7,378,597 22,135,792 11,067,896 5,533,948 2,766,974 1,383,487 4,150,462 2,075,231 6,225,694 3,112,847 9,338,542 4,669,271 14,007,814 7,003,907 21,011,722 10,505,861 31,517,584 15,758,792 7,879,396 3,939,698 1,969,849 5,909,548 2,954,774 1,477,387 4,432,162 2,216,081 6,648,244 3,324,122 1,662,061 4,986,184 2,493,092 1,246,546 623,273 1,869,820 934,910 467,455 1,402,366 701,183 2,103,550 1,051,775 3,155,326 1,577,663 4,732,990 2,366,495 7,099,486 3,549,743 10,649,230 5,324,615 15,973,846 7,986,923 23,960,770 11,980,385 35,941,156 17,970,578 8,985,289 26,955,868 13,477,934

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