2,608,206

2 × 3 × 19 × 137 × 167

Starting at 2,608,206, the Collatz iteration reaches 1 after 156 steps. The first transition is 1304103; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 137 × 167

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,564,160

Proper Divisor Sum 2,955,954

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2608181 ← → #2608211

Radix Representation

Decimal	2608206
Binary	1001111100110001001110 (22 bits)
Octal	0o11746116
Hexadecimal	0x27CC4E

Divisor Catalog (32)

1 2 3 6 19 38 57 114 137 167 274 334 411 501 822 1,002 2,603 3,173 5,206 6,346 7,809 9,519 15,618 19,038 22,879 45,758 68,637 137,274 434,701 869,402 1,304,103 2,608,206

Collatz Trajectory (156 steps to reach 1)

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

2,608,206 1,304,103 3,912,310 1,956,155 5,868,466 2,934,233 8,802,700 4,401,350 2,200,675 6,602,026 3,301,013 9,903,040 4,951,520 2,475,760 1,237,880 618,940 309,470 154,735 464,206 232,103 696,310 348,155 1,044,466 522,233 1,566,700 783,350 391,675 1,175,026 587,513 1,762,540 881,270 440,635 1,321,906 660,953 1,982,860 991,430 495,715 1,487,146 743,573 2,230,720 1,115,360 557,680 278,840 139,420 69,710 34,855 104,566 52,283 156,850 78,425 235,276 117,638 58,819 176,458 88,229 264,688 132,344 66,172 33,086 16,543

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