2,742,340

2² × 5 × 137117

Starting at 2,742,340, the Collatz iteration reaches 1 after 107 steps. The first transition is 1371170; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 137117

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,758,956

Proper Divisor Sum 3,016,616

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2742323 ← → #2742343

Radix Representation

Decimal	2742340
Binary	1010011101100001000100 (22 bits)
Octal	0o12354104
Hexadecimal	0x29D844

Divisor Catalog (12)

1 2 4 5 10 20 137,117 274,234 548,468 685,585 1,371,170 2,742,340

Collatz Trajectory (107 steps to reach 1)

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

2,742,340 1,371,170 685,585 2,056,756 1,028,378 514,189 1,542,568 771,284 385,642 192,821 578,464 289,232 144,616 72,308 36,154 18,077 54,232 27,116 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906

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