λ
Harmonic Matrix

389,799

33 × 14437
Deficient Odd Composite

389,799 has digital root 9. The neighboring primes are 389797 and 389819; its proper-divisor sum differs from the starting integer by -202,078.

Prime Factor Structure

Factorization String 3^3 × 14437
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 577,520
Proper Divisor Sum 187,721
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #389797 ← → #389819

Radix Representation

Decimal 389799
Binary 1011111001010100111 (19 bits)
Octal 0o1371247
Hexadecimal 0x5F2A7

Divisor Catalog (8)

1 3 9 27 14,437 43,311 129,933 389,799

Collatz Trajectory (86 steps to reach 1)

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

389,799 1,169,398 584,699 1,754,098 877,049 2,631,148 1,315,574 657,787 1,973,362 986,681 2,960,044 1,480,022 740,011 2,220,034 1,110,017 3,330,052 1,665,026 832,513 2,497,540 1,248,770 624,385 1,873,156 936,578 468,289 1,404,868 702,434 351,217 1,053,652 526,826 263,413 790,240 395,120 197,560 98,780 49,390 24,695 74,086 37,043 111,130 55,565 166,696 83,348 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474

More profiles

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