2,560,584

2³ × 3 × 13 × 29 × 283

Starting at 2,560,584, the Collatz iteration reaches 1 after 81 steps. The first transition is 1280292; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 29 × 283

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 7,156,800

Proper Divisor Sum 4,596,216

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2560583 ← → #2560601

Radix Representation

Decimal	2560584
Binary	1001110001001001001000 (22 bits)
Octal	0o11611110
Hexadecimal	0x271248

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 283 312 348 377 566 696 754 849 1,131 1,132 1,508 1,698 2,262 2,264 3,016 3,396 3,679 4,524 6,792 7,358 8,207 9,048 11,037 14,716 16,414 22,074 24,621 29,432 32,828 44,148 49,242 65,656 88,296 98,484 106,691 196,968 213,382 320,073 426,764

Collatz Trajectory (81 steps to reach 1)

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

2,560,584 1,280,292 640,146 320,073 960,220 480,110 240,055 720,166 360,083 1,080,250 540,125 1,620,376 810,188 405,094 202,547 607,642 303,821 911,464 455,732 227,866 113,933 341,800 170,900 85,450 42,725 128,176 64,088 32,044 16,022 8,011 24,034 12,017 36,052 18,026 9,013 27,040 13,520 6,760 3,380 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76

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