9,849,112

2³ × 7 × 13 × 83 × 163

Starting at 9,849,112, the Collatz iteration reaches 1 after 88 steps. The first transition is 4924556; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 83 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 23,143,680

Proper Divisor Sum 13,294,568

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9849109 ← → #9849127

Radix Representation

Decimal	9849112
Binary	100101100100100100011000 (24 bits)
Octal	0o45444430
Hexadecimal	0x964918

Divisor Catalog (60 of 64)

1 2 4 7 8 13 14 26 28 52 56 83 91 104 163 166 182 326 332 364 581 652 664 728 1,079 1,141 1,162 1,304 2,119 2,158 2,282 2,324 4,238 4,316 4,564 4,648 7,553 8,476 8,632 9,128 13,529 14,833 15,106 16,952 27,058 29,666 30,212 54,116 59,332 60,424 94,703 108,232 118,664 175,877 189,406 351,754 378,812 703,508 757,624 1,231,139

Collatz Trajectory (88 steps to reach 1)

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

9,849,112 4,924,556 2,462,278 1,231,139 3,693,418 1,846,709 5,540,128 2,770,064 1,385,032 692,516 346,258 173,129 519,388 259,694 129,847 389,542 194,771 584,314 292,157 876,472 438,236 219,118 109,559 328,678 164,339 493,018 246,509 739,528 369,764 184,882 92,441 277,324 138,662 69,331 207,994 103,997 311,992 155,996 77,998 38,999 116,998 58,499 175,498 87,749 263,248 131,624 65,812 32,906 16,453 49,360 24,680 12,340 6,170 3,085 9,256 4,628 2,314 1,157 3,472 1,736

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