λ
Prime Ledger

389,987

13 × 131 × 229
Deficient Odd Composite

389,987 has the prime decomposition 13 × 131 × 229. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 131 × 229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 425,040
Proper Divisor Sum 35,053
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #389981 ← → #389989

Radix Representation

Decimal 389987
Binary 1011111001101100011 (19 bits)
Octal 0o1371543
Hexadecimal 0x5F363

Divisor Catalog (8)

1 13 131 229 1,703 2,977 29,999 389,987

Collatz Trajectory (99 steps to reach 1)

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

389,987 1,169,962 584,981 1,754,944 877,472 438,736 219,368 109,684 54,842 27,421 82,264 41,132 20,566 10,283 30,850 15,425 46,276 23,138 11,569 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482

More profiles

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