9,962,336

2⁵ × 311323

Starting at 9,962,336, the Collatz iteration reaches 1 after 137 steps. The first transition is 4981168; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 311323

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 19,613,412

Proper Divisor Sum 9,651,076

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9962333 ← → #9962339

Radix Representation

Decimal	9962336
Binary	100110000000001101100000 (24 bits)
Octal	0o46001540
Hexadecimal	0x980360

Divisor Catalog (12)

1 2 4 8 16 32 311,323 622,646 1,245,292 2,490,584 4,981,168 9,962,336

Collatz Trajectory (137 steps to reach 1)

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

9,962,336 4,981,168 2,490,584 1,245,292 622,646 311,323 933,970 466,985 1,400,956 700,478 350,239 1,050,718 525,359 1,576,078 788,039 2,364,118 1,182,059 3,546,178 1,773,089 5,319,268 2,659,634 1,329,817 3,989,452 1,994,726 997,363 2,992,090 1,496,045 4,488,136 2,244,068 1,122,034 561,017 1,683,052 841,526 420,763 1,262,290 631,145 1,893,436 946,718 473,359 1,420,078 710,039 2,130,118 1,065,059 3,195,178 1,597,589 4,792,768 2,396,384 1,198,192 599,096 299,548 149,774 74,887 224,662 112,331 336,994 168,497 505,492 252,746 126,373 379,120

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