λ
Harmonic Matrix

9,329,805

32 × 5 × 207329
Deficient Odd Composite

9,329,805 has digital root 9. The neighboring primes are 9329783 and 9329807; its proper-divisor sum differs from the starting integer by -2,487,870.

Prime Factor Structure

Factorization String 3^2 × 5 × 207329
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,171,740
Proper Divisor Sum 6,841,935
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9329783 ← → #9329807

Radix Representation

Decimal 9329805
Binary 100011100101110010001101 (24 bits)
Octal 0o43456215
Hexadecimal 0x8E5C8D

Divisor Catalog (12)

1 3 5 9 15 45 207,329 621,987 1,036,645 1,865,961 3,109,935 9,329,805

Collatz Trajectory (75 steps to reach 1)

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

9,329,805 27,989,416 13,994,708 6,997,354 3,498,677 10,496,032 5,248,016 2,624,008 1,312,004 656,002 328,001 984,004 492,002 246,001 738,004 369,002 184,501 553,504 276,752 138,376 69,188 34,594 17,297 51,892 25,946 12,973 38,920 19,460 9,730 4,865 14,596 7,298 3,649 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46

More profiles

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