2,582,360

2³ × 5 × 11 × 5869

Starting at 2,582,360, the Collatz iteration reaches 1 after 280 steps. The first transition is 1291180; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 5869

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,339,600

Proper Divisor Sum 3,757,240

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2582357 ← → #2582369

Radix Representation

Decimal	2582360
Binary	1001110110011101011000 (22 bits)
Octal	0o11663530
Hexadecimal	0x276758

Divisor Catalog (32)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 5,869 11,738 23,476 29,345 46,952 58,690 64,559 117,380 129,118 234,760 258,236 322,795 516,472 645,590 1,291,180 2,582,360

Collatz Trajectory (280 steps to reach 1)

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

2,582,360 1,291,180 645,590 322,795 968,386 484,193 1,452,580 726,290 363,145 1,089,436 544,718 272,359 817,078 408,539 1,225,618 612,809 1,838,428 919,214 459,607 1,378,822 689,411 2,068,234 1,034,117 3,102,352 1,551,176 775,588 387,794 193,897 581,692 290,846 145,423 436,270 218,135 654,406 327,203 981,610 490,805 1,472,416 736,208 368,104 184,052 92,026 46,013 138,040 69,020 34,510 17,255 51,766 25,883 77,650 38,825 116,476 58,238 29,119 87,358 43,679 131,038 65,519 196,558 98,279

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