λ
Prime Ledger

491,386

2 × 7 × 35099
Deficient Even Composite

491,386 has the prime decomposition 2 × 7 × 35099. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 35099
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 842,400
Proper Divisor Sum 351,014
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #491377 ← → #491417

Radix Representation

Decimal 491386
Binary 1110111111101111010 (19 bits)
Octal 0o1677572
Hexadecimal 0x77F7A

Divisor Catalog (8)

1 2 7 14 35,099 70,198 245,693 491,386

Collatz Trajectory (120 steps to reach 1)

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

491,386 245,693 737,080 368,540 184,270 92,135 276,406 138,203 414,610 207,305 621,916 310,958 155,479 466,438 233,219 699,658 349,829 1,049,488 524,744 262,372 131,186 65,593 196,780 98,390 49,195 147,586 73,793 221,380 110,690 55,345 166,036 83,018 41,509 124,528 62,264 31,132 15,566 7,783 23,350 11,675 35,026 17,513 52,540 26,270 13,135 39,406 19,703 59,110 29,555 88,666 44,333 133,000 66,500 33,250 16,625 49,876 24,938 12,469 37,408 18,704

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