λ
Harmonic Matrix

382,247

37 × 10331
Deficient Odd Composite

382,247 has digital root 8. The neighboring primes are 382241 and 382253; its proper-divisor sum differs from the starting integer by -371,878.

Prime Factor Structure

Factorization String 37 × 10331
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 392,616
Proper Divisor Sum 10,369
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #382241 ← → #382253

Radix Representation

Decimal 382247
Binary 1011101010100100111 (19 bits)
Octal 0o1352447
Hexadecimal 0x5D527

Divisor Catalog (4)

1 37 10,331 382,247

Collatz Trajectory (99 steps to reach 1)

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

382,247 1,146,742 573,371 1,720,114 860,057 2,580,172 1,290,086 645,043 1,935,130 967,565 2,902,696 1,451,348 725,674 362,837 1,088,512 544,256 272,128 136,064 68,032 34,016 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407

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