9,786,176

2⁶ × 152909

Starting at 9,786,176, the Collatz iteration reaches 1 after 207 steps. The first transition is 4893088; the starting value is even with 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 152909

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 19,419,570

Proper Divisor Sum 9,633,394

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9786163 ← → #9786181

Radix Representation

Decimal	9786176
Binary	100101010101001101000000 (24 bits)
Octal	0o45251500
Hexadecimal	0x955340

Divisor Catalog (14)

1 2 4 8 16 32 64 152,909 305,818 611,636 1,223,272 2,446,544 4,893,088 9,786,176

Collatz Trajectory (207 steps to reach 1)

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

9,786,176 4,893,088 2,446,544 1,223,272 611,636 305,818 152,909 458,728 229,364 114,682 57,341 172,024 86,012 43,006 21,503 64,510 32,255 96,766 48,383 145,150 72,575 217,726 108,863 326,590 163,295 489,886 244,943 734,830 367,415 1,102,246 551,123 1,653,370 826,685 2,480,056 1,240,028 620,014 310,007 930,022 465,011 1,395,034 697,517 2,092,552 1,046,276 523,138 261,569 784,708 392,354 196,177 588,532 294,266 147,133 441,400 220,700 110,350 55,175 165,526 82,763 248,290 124,145 372,436

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