2,685,768

2³ × 3 × 47 × 2381

Starting at 2,685,768, the Collatz iteration reaches 1 after 218 steps. The first transition is 1342884; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 47 × 2381

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,860,160

Proper Divisor Sum 4,174,392

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #2685757 ← → #2685803

Radix Representation

Decimal	2685768
Binary	1010001111101101001000 (22 bits)
Octal	0o12175510
Hexadecimal	0x28FB48

Divisor Catalog (32)

1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1,128 2,381 4,762 7,143 9,524 14,286 19,048 28,572 57,144 111,907 223,814 335,721 447,628 671,442 895,256 1,342,884 2,685,768

Collatz Trajectory (218 steps to reach 1)

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

2,685,768 1,342,884 671,442 335,721 1,007,164 503,582 251,791 755,374 377,687 1,133,062 566,531 1,699,594 849,797 2,549,392 1,274,696 637,348 318,674 159,337 478,012 239,006 119,503 358,510 179,255 537,766 268,883 806,650 403,325 1,209,976 604,988 302,494 151,247 453,742 226,871 680,614 340,307 1,020,922 510,461 1,531,384 765,692 382,846 191,423 574,270 287,135 861,406 430,703 1,292,110 646,055 1,938,166 969,083 2,907,250 1,453,625 4,360,876 2,180,438 1,090,219 3,270,658 1,635,329 4,905,988 2,452,994 1,226,497 3,679,492

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