λ
Zalai Atlas

396,109

7 × 71 × 797
Deficient Odd Composite

396,109 has the prime decomposition 7 × 71 × 797. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 71 × 797
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 459,648
Proper Divisor Sum 63,539
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #396107 ← → #396119

Radix Representation

Decimal 396109
Binary 1100000101101001101 (19 bits)
Octal 0o1405515
Hexadecimal 0x60B4D

Divisor Catalog (8)

1 7 71 497 797 5,579 56,587 396,109

Collatz Trajectory (73 steps to reach 1)

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

396,109 1,188,328 594,164 297,082 148,541 445,624 222,812 111,406 55,703 167,110 83,555 250,666 125,333 376,000 188,000 94,000 47,000 23,500 11,750 5,875 17,626 8,813 26,440 13,220 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70

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