6,562,710

2 × 3² × 5 × 7 × 11 × 947

Starting at 6,562,710, the Collatz iteration reaches 1 after 90 steps. The first transition is 3281355; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 11 × 947

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 21,295,872

Proper Divisor Sum 14,733,162

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6562691 ← → #6562723

Radix Representation

Decimal	6562710
Binary	11001000010001110010110 (23 bits)
Octal	0o31021626
Hexadecimal	0x642396

Divisor Catalog (60 of 96)

1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 947 990 1,155 1,386 1,894 2,310 2,841 3,465 4,735 5,682 6,629 6,930 8,523 9,470 10,417 13,258 14,205 17,046

Collatz Trajectory (90 steps to reach 1)

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

6,562,710 3,281,355 9,844,066 4,922,033 14,766,100 7,383,050 3,691,525 11,074,576 5,537,288 2,768,644 1,384,322 692,161 2,076,484 1,038,242 519,121 1,557,364 778,682 389,341 1,168,024 584,012 292,006 146,003 438,010 219,005 657,016 328,508 164,254 82,127 246,382 123,191 369,574 184,787 554,362 277,181 831,544 415,772 207,886 103,943 311,830 155,915 467,746 233,873 701,620 350,810 175,405 526,216 263,108 131,554 65,777 197,332 98,666 49,333 148,000 74,000 37,000 18,500 9,250 4,625 13,876 6,938

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