807,498

2 × 3² × 113 × 397

807,498 is even and not a perfect square. Its factorization is 2 × 3^2 × 113 × 397 and its 24 divisors sum to 1,769,508.

Prime Factor Structure

Factorization String 2 × 3^2 × 113 × 397

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,769,508

Proper Divisor Sum 962,010

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #807493 ← → #807509

Radix Representation

Decimal	807498
Binary	11000101001001001010 (20 bits)
Octal	0o3051112
Hexadecimal	0xC524A

Divisor Catalog (24)

1 2 3 6 9 18 113 226 339 397 678 794 1,017 1,191 2,034 2,382 3,573 7,146 44,861 89,722 134,583 269,166 403,749 807,498

Collatz Trajectory (206 steps to reach 1)

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

807,498 403,749 1,211,248 605,624 302,812 151,406 75,703 227,110 113,555 340,666 170,333 511,000 255,500 127,750 63,875 191,626 95,813 287,440 143,720 71,860 35,930 17,965 53,896 26,948 13,474 6,737 20,212 10,106 5,053 15,160 7,580 3,790 1,895 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755

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