6,562,620

2² × 3⁴ × 5 × 4051

Starting at 6,562,620, the Collatz iteration reaches 1 after 209 steps. The first transition is 3281310; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5 × 4051

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 20,592,264

Proper Divisor Sum 14,029,644

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6562603 ← → #6562637

Radix Representation

Decimal	6562620
Binary	11001000010001100111100 (23 bits)
Octal	0o31021474
Hexadecimal	0x64233C

Divisor Catalog (60)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1,620 4,051 8,102 12,153 16,204 20,255 24,306 36,459 40,510 48,612 60,765 72,918 81,020 109,377 121,530 145,836 182,295 218,754 243,060 328,131 364,590 437,508 546,885 656,262 729,180 1,093,770 1,312,524 1,640,655 2,187,540 3,281,310 6,562,620

Collatz Trajectory (209 steps to reach 1)

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

6,562,620 3,281,310 1,640,655 4,921,966 2,460,983 7,382,950 3,691,475 11,074,426 5,537,213 16,611,640 8,305,820 4,152,910 2,076,455 6,229,366 3,114,683 9,344,050 4,672,025 14,016,076 7,008,038 3,504,019 10,512,058 5,256,029 15,768,088 7,884,044 3,942,022 1,971,011 5,913,034 2,956,517 8,869,552 4,434,776 2,217,388 1,108,694 554,347 1,663,042 831,521 2,494,564 1,247,282 623,641 1,870,924 935,462 467,731 1,403,194 701,597 2,104,792 1,052,396 526,198 263,099 789,298 394,649 1,183,948 591,974 295,987 887,962 443,981 1,331,944 665,972 332,986 166,493 499,480 249,740

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