8,444,611

7² × 23 × 59 × 127

Starting at 8,444,611, the Collatz iteration reaches 1 after 181 steps. The first transition is 25333834; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 23 × 59 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,506,240

Proper Divisor Sum 2,061,629

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8444609 ← → #8444629

Radix Representation

Decimal	8444611
Binary	100000001101101011000011 (24 bits)
Octal	0o40155303
Hexadecimal	0x80DAC3

Divisor Catalog (24)

1 7 23 49 59 127 161 413 889 1,127 1,357 2,891 2,921 6,223 7,493 9,499 20,447 52,451 66,493 143,129 172,339 367,157 1,206,373 8,444,611

Collatz Trajectory (181 steps to reach 1)

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

8,444,611 25,333,834 12,666,917 38,000,752 19,000,376 9,500,188 4,750,094 2,375,047 7,125,142 3,562,571 10,687,714 5,343,857 16,031,572 8,015,786 4,007,893 12,023,680 6,011,840 3,005,920 1,502,960 751,480 375,740 187,870 93,935 281,806 140,903 422,710 211,355 634,066 317,033 951,100 475,550 237,775 713,326 356,663 1,069,990 534,995 1,604,986 802,493 2,407,480 1,203,740 601,870 300,935 902,806 451,403 1,354,210 677,105 2,031,316 1,015,658 507,829 1,523,488 761,744 380,872 190,436 95,218 47,609 142,828 71,414 35,707 107,122 53,561

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