2,680,392

2³ × 3 × 11² × 13 × 71

Starting at 2,680,392, the Collatz iteration reaches 1 after 94 steps. The first transition is 1340196; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 11^2 × 13 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 8,043,840

Proper Divisor Sum 5,363,448

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2680367 ← → #2680393

Radix Representation

Decimal	2680392
Binary	1010001110011001001000 (22 bits)
Octal	0o12163110
Hexadecimal	0x28E648

Divisor Catalog (60 of 96)

1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 71 78 88 104 121 132 142 143 156 213 242 264 284 286 312 363 426 429 484 568 572 726 781 852 858 923 968 1,144 1,452 1,562 1,573 1,704 1,716 1,846 2,343 2,769 2,904 3,124 3,146 3,432 3,692 4,686 4,719

Collatz Trajectory (94 steps to reach 1)

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

2,680,392 1,340,196 670,098 335,049 1,005,148 502,574 251,287 753,862 376,931 1,130,794 565,397 1,696,192 848,096 424,048 212,024 106,012 53,006 26,503 79,510 39,755 119,266 59,633 178,900 89,450 44,725 134,176 67,088 33,544 16,772 8,386 4,193 12,580 6,290 3,145 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837

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