4,110,816

2⁵ × 3 × 42821

Starting at 4,110,816, the Collatz iteration reaches 1 after 216 steps. The first transition is 2055408; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 42821

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,791,144

Proper Divisor Sum 6,680,328

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4110803 ← → #4110823

Radix Representation

Decimal	4110816
Binary	1111101011100111100000 (22 bits)
Octal	0o17534740
Hexadecimal	0x3EB9E0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 42,821 85,642 128,463 171,284 256,926 342,568 513,852 685,136 1,027,704 1,370,272 2,055,408 4,110,816

Collatz Trajectory (216 steps to reach 1)

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

4,110,816 2,055,408 1,027,704 513,852 256,926 128,463 385,390 192,695 578,086 289,043 867,130 433,565 1,300,696 650,348 325,174 162,587 487,762 243,881 731,644 365,822 182,911 548,734 274,367 823,102 411,551 1,234,654 617,327 1,851,982 925,991 2,777,974 1,388,987 4,166,962 2,083,481 6,250,444 3,125,222 1,562,611 4,687,834 2,343,917 7,031,752 3,515,876 1,757,938 878,969 2,636,908 1,318,454 659,227 1,977,682 988,841 2,966,524 1,483,262 741,631 2,224,894 1,112,447 3,337,342 1,668,671 5,006,014 2,503,007 7,509,022 3,754,511 11,263,534 5,631,767

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