6,610,350

2 × 3 × 5² × 127 × 347

Starting at 6,610,350, the Collatz iteration reaches 1 after 178 steps. The first transition is 3305175; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 127 × 347

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,570,368

Proper Divisor Sum 9,960,018

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6610343 ← → #6610379

Radix Representation

Decimal	6610350
Binary	11001001101110110101110 (23 bits)
Octal	0o31156656
Hexadecimal	0x64DDAE

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 75 127 150 254 347 381 635 694 762 1,041 1,270 1,735 1,905 2,082 3,175 3,470 3,810 5,205 6,350 8,675 9,525 10,410 17,350 19,050 26,025 44,069 52,050 88,138 132,207 220,345 264,414 440,690 661,035 1,101,725 1,322,070 2,203,450 3,305,175 6,610,350

Collatz Trajectory (178 steps to reach 1)

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

6,610,350 3,305,175 9,915,526 4,957,763 14,873,290 7,436,645 22,309,936 11,154,968 5,577,484 2,788,742 1,394,371 4,183,114 2,091,557 6,274,672 3,137,336 1,568,668 784,334 392,167 1,176,502 588,251 1,764,754 882,377 2,647,132 1,323,566 661,783 1,985,350 992,675 2,978,026 1,489,013 4,467,040 2,233,520 1,116,760 558,380 279,190 139,595 418,786 209,393 628,180 314,090 157,045 471,136 235,568 117,784 58,892 29,446 14,723 44,170 22,085 66,256 33,128 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165

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