λ
Harmonic Matrix

9,990,328

23 × 127 × 9833
Deficient Even Composite

9,990,328 has digital root 4. The neighboring primes are 9990307 and 9990359; its proper-divisor sum differs from the starting integer by -1,099,376.

Prime Factor Structure

Factorization String 2^3 × 127 × 9833
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,881,280
Proper Divisor Sum 8,890,952
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9990307 ← → #9990359

Radix Representation

Decimal 9990328
Binary 100110000111000010111000 (24 bits)
Octal 0o46070270
Hexadecimal 0x9870B8

Divisor Catalog (16)

1 2 4 8 127 254 508 1,016 9,833 19,666 39,332 78,664 1,248,791 2,497,582 4,995,164 9,990,328

Collatz Trajectory (163 steps to reach 1)

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

9,990,328 4,995,164 2,497,582 1,248,791 3,746,374 1,873,187 5,619,562 2,809,781 8,429,344 4,214,672 2,107,336 1,053,668 526,834 263,417 790,252 395,126 197,563 592,690 296,345 889,036 444,518 222,259 666,778 333,389 1,000,168 500,084 250,042 125,021 375,064 187,532 93,766 46,883 140,650 70,325 210,976 105,488 52,744 26,372 13,186 6,593 19,780 9,890 4,945 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570

More profiles

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