λ
Harmonic Matrix

4,067,466

2 × 3 × 13 × 52147
Abundant Even Composite

4,067,466 has digital root 6. The neighboring primes are 4067423 and 4067467; its proper-divisor sum differs from the starting integer by 625,932.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 52147
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,760,864
Proper Divisor Sum 4,693,398
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4067423 ← → #4067467

Radix Representation

Decimal 4067466
Binary 1111100001000010001010 (22 bits)
Octal 0o17410212
Hexadecimal 0x3E108A

Divisor Catalog (16)

1 2 3 6 13 26 39 78 52,147 104,294 156,441 312,882 677,911 1,355,822 2,033,733 4,067,466

Collatz Trajectory (110 steps to reach 1)

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

4,067,466 2,033,733 6,101,200 3,050,600 1,525,300 762,650 381,325 1,143,976 571,988 285,994 142,997 428,992 214,496 107,248 53,624 26,812 13,406 6,703 20,110 10,055 30,166 15,083 45,250 22,625 67,876 33,938 16,969 50,908 25,454 12,727 38,182 19,091 57,274 28,637 85,912 42,956 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718

More profiles

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