6,481,650

2 × 3 × 5² × 7 × 6173

Starting at 6,481,650, the Collatz iteration reaches 1 after 90 steps. The first transition is 3240825; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 6173

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,373,824

Proper Divisor Sum 11,892,174

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6481639 ← → #6481667

Radix Representation

Decimal	6481650
Binary	11000101110011011110010 (23 bits)
Octal	0o30563362
Hexadecimal	0x62E6F2

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1,050 6,173 12,346 18,519 30,865 37,038 43,211 61,730 86,422 92,595 129,633 154,325 185,190 216,055 259,266 308,650 432,110 462,975 648,165 925,950 1,080,275 1,296,330 2,160,550 3,240,825 6,481,650

Collatz Trajectory (90 steps to reach 1)

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

6,481,650 3,240,825 9,722,476 4,861,238 2,430,619 7,291,858 3,645,929 10,937,788 5,468,894 2,734,447 8,203,342 4,101,671 12,305,014 6,152,507 18,457,522 9,228,761 27,686,284 13,843,142 6,921,571 20,764,714 10,382,357 31,147,072 15,573,536 7,786,768 3,893,384 1,946,692 973,346 486,673 1,460,020 730,010 365,005 1,095,016 547,508 273,754 136,877 410,632 205,316 102,658 51,329 153,988 76,994 38,497 115,492 57,746 28,873 86,620 43,310 21,655 64,966 32,483 97,450 48,725 146,176 73,088 36,544 18,272 9,136 4,568 2,284 1,142

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