7,482,666

2 × 3 × 137 × 9103

Starting at 7,482,666, the Collatz iteration reaches 1 after 173 steps. The first transition is 3741333; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 137 × 9103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,076,224

Proper Divisor Sum 7,593,558

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7482661 ← → #7482679

Radix Representation

Decimal	7482666
Binary	11100100010110100101010 (23 bits)
Octal	0o34426452
Hexadecimal	0x722D2A

Divisor Catalog (16)

1 2 3 6 137 274 411 822 9,103 18,206 27,309 54,618 1,247,111 2,494,222 3,741,333 7,482,666

Collatz Trajectory (173 steps to reach 1)

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

7,482,666 3,741,333 11,224,000 5,612,000 2,806,000 1,403,000 701,500 350,750 175,375 526,126 263,063 789,190 394,595 1,183,786 591,893 1,775,680 887,840 443,920 221,960 110,980 55,490 27,745 83,236 41,618 20,809 62,428 31,214 15,607 46,822 23,411 70,234 35,117 105,352 52,676 26,338 13,169 39,508 19,754 9,877 29,632 14,816 7,408 3,704 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322

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