6,443,520

2⁹ × 3 × 5 × 839

Starting at 6,443,520, the Collatz iteration reaches 1 after 116 steps. The first transition is 3221760; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^9 × 3 × 5 × 839

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 20,623,680

Proper Divisor Sum 14,180,160

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6443501 ← → #6443537

Radix Representation

Decimal	6443520
Binary	11000100101001000000000 (23 bits)
Octal	0o30451000
Hexadecimal	0x625200

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 839 960 1,280 1,536 1,678 1,920 2,517 2,560 3,356 3,840 4,195 5,034 6,712 7,680 8,390 10,068 12,585 13,424 16,780 20,136 25,170 26,848 33,560 40,272 50,340 53,696 67,120

Collatz Trajectory (116 steps to reach 1)

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

6,443,520 3,221,760 1,610,880 805,440 402,720 201,360 100,680 50,340 25,170 12,585 37,756 18,878 9,439 28,318 14,159 42,478 21,239 63,718 31,859 95,578 47,789 143,368 71,684 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138

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