2,738,600

2³ × 5² × 13693

Starting at 2,738,600, the Collatz iteration reaches 1 after 200 steps. The first transition is 1369300; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 13693

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,367,710

Proper Divisor Sum 3,629,110

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2738599 ← → #2738621

Radix Representation

Decimal	2738600
Binary	1010011100100110101000 (22 bits)
Octal	0o12344650
Hexadecimal	0x29C9A8

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 13,693 27,386 54,772 68,465 109,544 136,930 273,860 342,325 547,720 684,650 1,369,300 2,738,600

Collatz Trajectory (200 steps to reach 1)

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

2,738,600 1,369,300 684,650 342,325 1,026,976 513,488 256,744 128,372 64,186 32,093 96,280 48,140 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156 5,078 2,539 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902

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