6,580,600

2³ × 5² × 13 × 2531

Starting at 6,580,600, the Collatz iteration reaches 1 after 209 steps. The first transition is 3290300; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 13 × 2531

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,483,320

Proper Divisor Sum 9,902,720

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #6580597 ← → #6580627

Radix Representation

Decimal	6580600
Binary	11001000110100101111000 (23 bits)
Octal	0o31064570
Hexadecimal	0x646978

Divisor Catalog (48)

1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1,300 2,531 2,600 5,062 10,124 12,655 20,248 25,310 32,903 50,620 63,275 65,806 101,240 126,550 131,612 164,515 253,100 263,224 329,030 506,200 658,060 822,575 1,316,120 1,645,150 3,290,300 6,580,600

Collatz Trajectory (209 steps to reach 1)

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

6,580,600 3,290,300 1,645,150 822,575 2,467,726 1,233,863 3,701,590 1,850,795 5,552,386 2,776,193 8,328,580 4,164,290 2,082,145 6,246,436 3,123,218 1,561,609 4,684,828 2,342,414 1,171,207 3,513,622 1,756,811 5,270,434 2,635,217 7,905,652 3,952,826 1,976,413 5,929,240 2,964,620 1,482,310 741,155 2,223,466 1,111,733 3,335,200 1,667,600 833,800 416,900 208,450 104,225 312,676 156,338 78,169 234,508 117,254 58,627 175,882 87,941 263,824 131,912 65,956 32,978 16,489 49,468 24,734 12,367 37,102 18,551 55,654 27,827 83,482 41,741

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