λ
Harmonic Matrix

1,990,041

3 × 19 × 34913
Deficient Odd Composite

1,990,041 has digital root 6. The neighboring primes are 1990039 and 1990069; its proper-divisor sum differs from the starting integer by -1,186,962.

Prime Factor Structure

Factorization String 3 × 19 × 34913
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,793,120
Proper Divisor Sum 803,079
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1990039 ← → #1990069

Radix Representation

Decimal 1990041
Binary 111100101110110011001 (21 bits)
Octal 0o7456631
Hexadecimal 0x1E5D99

Divisor Catalog (8)

1 3 19 57 34,913 104,739 663,347 1,990,041

Collatz Trajectory (166 steps to reach 1)

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

1,990,041 5,970,124 2,985,062 1,492,531 4,477,594 2,238,797 6,716,392 3,358,196 1,679,098 839,549 2,518,648 1,259,324 629,662 314,831 944,494 472,247 1,416,742 708,371 2,125,114 1,062,557 3,187,672 1,593,836 796,918 398,459 1,195,378 597,689 1,793,068 896,534 448,267 1,344,802 672,401 2,017,204 1,008,602 504,301 1,512,904 756,452 378,226 189,113 567,340 283,670 141,835 425,506 212,753 638,260 319,130 159,565 478,696 239,348 119,674 59,837 179,512 89,756 44,878 22,439 67,318 33,659 100,978 50,489 151,468 75,734

More profiles

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