2,911,638

2 × 3 × 373 × 1301

Starting at 2,911,638, the Collatz iteration reaches 1 after 200 steps. The first transition is 1455819; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 373 × 1301

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,843,376

Proper Divisor Sum 2,931,738

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2911621 ← → #2911651

Radix Representation

Decimal	2911638
Binary	1011000110110110010110 (22 bits)
Octal	0o13066626
Hexadecimal	0x2C6D96

Divisor Catalog (16)

1 2 3 6 373 746 1,119 1,301 2,238 2,602 3,903 7,806 485,273 970,546 1,455,819 2,911,638

Collatz Trajectory (200 steps to reach 1)

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

2,911,638 1,455,819 4,367,458 2,183,729 6,551,188 3,275,594 1,637,797 4,913,392 2,456,696 1,228,348 614,174 307,087 921,262 460,631 1,381,894 690,947 2,072,842 1,036,421 3,109,264 1,554,632 777,316 388,658 194,329 582,988 291,494 145,747 437,242 218,621 655,864 327,932 163,966 81,983 245,950 122,975 368,926 184,463 553,390 276,695 830,086 415,043 1,245,130 622,565 1,867,696 933,848 466,924 233,462 116,731 350,194 175,097 525,292 262,646 131,323 393,970 196,985 590,956 295,478 147,739 443,218 221,609 664,828

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