λ
Harmonic Matrix

2,988,393

3 × 211 × 4721
Deficient Odd Composite

2,988,393 has digital root 6. The neighboring primes are 2988389 and 2988407; its proper-divisor sum differs from the starting integer by -1,972,530.

Prime Factor Structure

Factorization String 3 × 211 × 4721
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,004,256
Proper Divisor Sum 1,015,863
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2988389 ← → #2988407

Radix Representation

Decimal 2988393
Binary 1011011001100101101001 (22 bits)
Octal 0o13314551
Hexadecimal 0x2D9969

Divisor Catalog (8)

1 3 211 633 4,721 14,163 996,131 2,988,393

Collatz Trajectory (89 steps to reach 1)

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

2,988,393 8,965,180 4,482,590 2,241,295 6,723,886 3,361,943 10,085,830 5,042,915 15,128,746 7,564,373 22,693,120 11,346,560 5,673,280 2,836,640 1,418,320 709,160 354,580 177,290 88,645 265,936 132,968 66,484 33,242 16,621 49,864 24,932 12,466 6,233 18,700 9,350 4,675 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89

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