λ
Match Zalai

387,987

3 × 23 × 5623
Deficient Odd Composite

387,987 factors as 3 × 23 × 5623. Its 8 positive divisors give a proper-divisor sum of 151,917, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 3 × 23 × 5623
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 539,904
Proper Divisor Sum 151,917
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #387977 ← → #388009

Radix Representation

Decimal 387987
Binary 1011110101110010011 (19 bits)
Octal 0o1365623
Hexadecimal 0x5EB93

Divisor Catalog (8)

1 3 23 69 5,623 16,869 129,329 387,987

Collatz Trajectory (73 steps to reach 1)

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

387,987 1,163,962 581,981 1,745,944 872,972 436,486 218,243 654,730 327,365 982,096 491,048 245,524 122,762 61,381 184,144 92,072 46,036 23,018 11,509 34,528 17,264 8,632 4,316 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 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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