2,697,644

2² × 199 × 3389

Starting at 2,697,644, the Collatz iteration reaches 1 after 112 steps. The first transition is 1348822; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 199 × 3389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,746,000

Proper Divisor Sum 2,048,356

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #2697637 ← → #2697661

Radix Representation

Decimal	2697644
Binary	1010010010100110101100 (22 bits)
Octal	0o12224654
Hexadecimal	0x2929AC

Divisor Catalog (12)

1 2 4 199 398 796 3,389 6,778 13,556 674,411 1,348,822 2,697,644

Collatz Trajectory (112 steps to reach 1)

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

2,697,644 1,348,822 674,411 2,023,234 1,011,617 3,034,852 1,517,426 758,713 2,276,140 1,138,070 569,035 1,707,106 853,553 2,560,660 1,280,330 640,165 1,920,496 960,248 480,124 240,062 120,031 360,094 180,047 540,142 270,071 810,214 405,107 1,215,322 607,661 1,822,984 911,492 455,746 227,873 683,620 341,810 170,905 512,716 256,358 128,179 384,538 192,269 576,808 288,404 144,202 72,101 216,304 108,152 54,076 27,038 13,519 40,558 20,279 60,838 30,419 91,258 45,629 136,888 68,444 34,222 17,111

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