3,112,746

2 × 3 × 7 × 13 × 5701

Starting at 3,112,746, the Collatz iteration reaches 1 after 133 steps. The first transition is 1556373; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 13 × 5701

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,663,488

Proper Divisor Sum 4,550,742

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3112729 ← → #3112757

Radix Representation

Decimal	3112746
Binary	1011110111111100101010 (22 bits)
Octal	0o13677452
Hexadecimal	0x2F7F2A

Divisor Catalog (32)

1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 5,701 11,402 17,103 34,206 39,907 74,113 79,814 119,721 148,226 222,339 239,442 444,678 518,791 1,037,582 1,556,373 3,112,746

Collatz Trajectory (133 steps to reach 1)

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

3,112,746 1,556,373 4,669,120 2,334,560 1,167,280 583,640 291,820 145,910 72,955 218,866 109,433 328,300 164,150 82,075 246,226 123,113 369,340 184,670 92,335 277,006 138,503 415,510 207,755 623,266 311,633 934,900 467,450 233,725 701,176 350,588 175,294 87,647 262,942 131,471 394,414 197,207 591,622 295,811 887,434 443,717 1,331,152 665,576 332,788 166,394 83,197 249,592 124,796 62,398 31,199 93,598 46,799 140,398 70,199 210,598 105,299 315,898 157,949 473,848 236,924 118,462

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