λ
Harmonic Matrix

387,685

5 × 17 × 4561
Deficient Odd Composite

387,685 has digital root 1. The neighboring primes are 387683 and 387707; its proper-divisor sum differs from the starting integer by -282,674.

Prime Factor Structure

Factorization String 5 × 17 × 4561
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 492,696
Proper Divisor Sum 105,011
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #387683 ← → #387707

Radix Representation

Decimal 387685
Binary 1011110101001100101 (19 bits)
Octal 0o1365145
Hexadecimal 0x5EA65

Divisor Catalog (8)

1 5 17 85 4,561 22,805 77,537 387,685

Collatz Trajectory (73 steps to reach 1)

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

387,685 1,163,056 581,528 290,764 145,382 72,691 218,074 109,037 327,112 163,556 81,778 40,889 122,668 61,334 30,667 92,002 46,001 138,004 69,002 34,501 103,504 51,752 25,876 12,938 6,469 19,408 9,704 4,852 2,426 1,213 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70

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