9,946,053

3² × 13 × 85009

Starting at 9,946,053, the Collatz iteration reaches 1 after 132 steps. The first transition is 29838160; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 85009

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,471,820

Proper Divisor Sum 5,525,767

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9946049 ← → #9946073

Radix Representation

Decimal	9946053
Binary	100101111100001111000101 (24 bits)
Octal	0o45741705
Hexadecimal	0x97C3C5

Divisor Catalog (12)

1 3 9 13 39 117 85,009 255,027 765,081 1,105,117 3,315,351 9,946,053

Collatz Trajectory (132 steps to reach 1)

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

9,946,053 29,838,160 14,919,080 7,459,540 3,729,770 1,864,885 5,594,656 2,797,328 1,398,664 699,332 349,666 174,833 524,500 262,250 131,125 393,376 196,688 98,344 49,172 24,586 12,293 36,880 18,440 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

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