λ
Modular Archive

387,876

22 × 3 × 32323
Abundant Even Composite

The decimal integer 387,876 is 1011110101100100100 in binary (19 bits), 1365444 in octal and 5EB24 in hexadecimal. Its digit sum is 39.

Prime Factor Structure

Factorization String 2^2 × 3 × 32323
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 905,072
Proper Divisor Sum 517,196
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #387857 ← → #387911

Radix Representation

Decimal 387876
Binary 1011110101100100100 (19 bits)
Octal 0o1365444
Hexadecimal 0x5EB24

Divisor Catalog (12)

1 2 3 4 6 12 32,323 64,646 96,969 129,292 193,938 387,876

Collatz Trajectory (148 steps to reach 1)

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

387,876 193,938 96,969 290,908 145,454 72,727 218,182 109,091 327,274 163,637 490,912 245,456 122,728 61,364 30,682 15,341 46,024 23,012 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412

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