8,790,444

2² × 3⁴ × 13 × 2087

Starting at 8,790,444, the Collatz iteration reaches 1 after 212 steps. The first transition is 4395222; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 13 × 2087

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 24,759,504

Proper Divisor Sum 15,969,060

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8790413 ← → #8790473

Radix Representation

Decimal	8790444
Binary	100001100010000110101100 (24 bits)
Octal	0o41420654
Hexadecimal	0x8621AC

Divisor Catalog (60)

1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1,053 1,404 2,087 2,106 4,174 4,212 6,261 8,348 12,522 18,783 25,044 27,131 37,566 54,262 56,349 75,132 81,393 108,524 112,698 162,786 169,047 225,396 244,179 325,572 338,094 488,358 676,188 732,537 976,716 1,465,074 2,197,611 2,930,148 4,395,222 8,790,444

Collatz Trajectory (212 steps to reach 1)

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

8,790,444 4,395,222 2,197,611 6,592,834 3,296,417 9,889,252 4,944,626 2,472,313 7,416,940 3,708,470 1,854,235 5,562,706 2,781,353 8,344,060 4,172,030 2,086,015 6,258,046 3,129,023 9,387,070 4,693,535 14,080,606 7,040,303 21,120,910 10,560,455 31,681,366 15,840,683 47,522,050 23,761,025 71,283,076 35,641,538 17,820,769 53,462,308 26,731,154 13,365,577 40,096,732 20,048,366 10,024,183 30,072,550 15,036,275 45,108,826 22,554,413 67,663,240 33,831,620 16,915,810 8,457,905 25,373,716 12,686,858 6,343,429 19,030,288 9,515,144 4,757,572 2,378,786 1,189,393 3,568,180 1,784,090 892,045 2,676,136 1,338,068 669,034 334,517

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