λ
Harmonic Matrix

3,986,446

2 × 47 × 42409
Deficient Even Composite

3,986,446 has digital root 4. The neighboring primes are 3986441 and 3986459; its proper-divisor sum differs from the starting integer by -1,865,852.

Prime Factor Structure

Factorization String 2 × 47 × 42409
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,107,040
Proper Divisor Sum 2,120,594
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3986441 ← → #3986459

Radix Representation

Decimal 3986446
Binary 1111001101010000001110 (22 bits)
Octal 0o17152016
Hexadecimal 0x3CD40E

Divisor Catalog (8)

1 2 47 94 42,409 84,818 1,993,223 3,986,446

Collatz Trajectory (185 steps to reach 1)

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

3,986,446 1,993,223 5,979,670 2,989,835 8,969,506 4,484,753 13,454,260 6,727,130 3,363,565 10,090,696 5,045,348 2,522,674 1,261,337 3,784,012 1,892,006 946,003 2,838,010 1,419,005 4,257,016 2,128,508 1,064,254 532,127 1,596,382 798,191 2,394,574 1,197,287 3,591,862 1,795,931 5,387,794 2,693,897 8,081,692 4,040,846 2,020,423 6,061,270 3,030,635 9,091,906 4,545,953 13,637,860 6,818,930 3,409,465 10,228,396 5,114,198 2,557,099 7,671,298 3,835,649 11,506,948 5,753,474 2,876,737 8,630,212 4,315,106 2,157,553 6,472,660 3,236,330 1,618,165 4,854,496 2,427,248 1,213,624 606,812 303,406 151,703

More profiles

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