λ
Harmonic Matrix

4,066,098

2 × 3 × 677683
Abundant Even Composite

4,066,098 has digital root 6. The neighboring primes are 4066067 and 4066121; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 677683
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,132,208
Proper Divisor Sum 4,066,110
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4066067 ← → #4066121

Radix Representation

Decimal 4066098
Binary 1111100000101100110010 (22 bits)
Octal 0o17405462
Hexadecimal 0x3E0B32

Divisor Catalog (8)

1 2 3 6 677,683 1,355,366 2,033,049 4,066,098

Collatz Trajectory (136 steps to reach 1)

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

4,066,098 2,033,049 6,099,148 3,049,574 1,524,787 4,574,362 2,287,181 6,861,544 3,430,772 1,715,386 857,693 2,573,080 1,286,540 643,270 321,635 964,906 482,453 1,447,360 723,680 361,840 180,920 90,460 45,230 22,615 67,846 33,923 101,770 50,885 152,656 76,328 38,164 19,082 9,541 28,624 14,312 7,156 3,578 1,789 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306

More profiles

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