λ
Prime Ledger

682,498

2 × 127 × 2687
Deficient Even Composite

682,498 has the prime decomposition 2 × 127 × 2687. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 127 × 2687
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,032,192
Proper Divisor Sum 349,694
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #682489 ← → #682511

Radix Representation

Decimal 682498
Binary 10100110101000000010 (20 bits)
Octal 0o2465002
Hexadecimal 0xA6A02

Divisor Catalog (8)

1 2 127 254 2,687 5,374 341,249 682,498

Collatz Trajectory (61 steps to reach 1)

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

682,498 341,249 1,023,748 511,874 255,937 767,812 383,906 191,953 575,860 287,930 143,965 431,896 215,948 107,974 53,987 161,962 80,981 242,944 121,472 60,736 30,368 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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