8,388,980

2² × 5 × 419449

Starting at 8,388,980, the Collatz iteration reaches 1 after 106 steps. The first transition is 4194490; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 419449

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,616,900

Proper Divisor Sum 9,227,920

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #8388971 ← → #8389001

Radix Representation

Decimal	8388980
Binary	100000000000000101110100 (24 bits)
Octal	0o40000564
Hexadecimal	0x800174

Divisor Catalog (12)

1 2 4 5 10 20 419,449 838,898 1,677,796 2,097,245 4,194,490 8,388,980

Collatz Trajectory (106 steps to reach 1)

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

8,388,980 4,194,490 2,097,245 6,291,736 3,145,868 1,572,934 786,467 2,359,402 1,179,701 3,539,104 1,769,552 884,776 442,388 221,194 110,597 331,792 165,896 82,948 41,474 20,737 62,212 31,106 15,553 46,660 23,330 11,665 34,996 17,498 8,749 26,248 13,124 6,562 3,281 9,844 4,922 2,461 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247

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