2,784,688

2⁴ × 269 × 647

Starting at 2,784,688, the Collatz iteration reaches 1 after 138 steps. The first transition is 1392344; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 269 × 647

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 5,423,760

Proper Divisor Sum 2,639,072

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #2784653 ← → #2784689

Radix Representation

Decimal	2784688
Binary	1010100111110110110000 (22 bits)
Octal	0o12476660
Hexadecimal	0x2A7DB0

Divisor Catalog (20)

1 2 4 8 16 269 538 647 1,076 1,294 2,152 2,588 4,304 5,176 10,352 174,043 348,086 696,172 1,392,344 2,784,688

Collatz Trajectory (138 steps to reach 1)

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

2,784,688 1,392,344 696,172 348,086 174,043 522,130 261,065 783,196 391,598 195,799 587,398 293,699 881,098 440,549 1,321,648 660,824 330,412 165,206 82,603 247,810 123,905 371,716 185,858 92,929 278,788 139,394 69,697 209,092 104,546 52,273 156,820 78,410 39,205 117,616 58,808 29,404 14,702 7,351 22,054 11,027 33,082 16,541 49,624 24,812 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945

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