2,780,600

2³ × 5² × 13903

Starting at 2,780,600, the Collatz iteration reaches 1 after 231 steps. The first transition is 1390300; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 13903

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,465,360

Proper Divisor Sum 3,684,760

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2780599 ← → #2780621

Radix Representation

Decimal	2780600
Binary	1010100110110110111000 (22 bits)
Octal	0o12466670
Hexadecimal	0x2A6DB8

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 13,903 27,806 55,612 69,515 111,224 139,030 278,060 347,575 556,120 695,150 1,390,300 2,780,600

Collatz Trajectory (231 steps to reach 1)

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

2,780,600 1,390,300 695,150 347,575 1,042,726 521,363 1,564,090 782,045 2,346,136 1,173,068 586,534 293,267 879,802 439,901 1,319,704 659,852 329,926 164,963 494,890 247,445 742,336 371,168 185,584 92,792 46,396 23,198 11,599 34,798 17,399 52,198 26,099 78,298 39,149 117,448 58,724 29,362 14,681 44,044 22,022 11,011 33,034 16,517 49,552 24,776 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942

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