λ
Prime Ledger

496,902

2 × 3 × 7 × 11831
Abundant Even Composite

496,902 has the prime decomposition 2 × 3 × 7 × 11831. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11831
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,135,872
Proper Divisor Sum 638,970
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #496901 ← → #496913

Radix Representation

Decimal 496902
Binary 1111001010100000110 (19 bits)
Octal 0o1712406
Hexadecimal 0x79506

Divisor Catalog (16)

1 2 3 6 7 14 21 42 11,831 23,662 35,493 70,986 82,817 165,634 248,451 496,902

Collatz Trajectory (151 steps to reach 1)

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

496,902 248,451 745,354 372,677 1,118,032 559,016 279,508 139,754 69,877 209,632 104,816 52,408 26,204 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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