828,498

2 × 3 × 11 × 12553

828,498 has the prime decomposition 2 × 3 × 11 × 12553. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 12553

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,807,776

Proper Divisor Sum 979,278

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #828449 ← → #828517

Radix Representation

Decimal	828498
Binary	11001010010001010010 (20 bits)
Octal	0o3122122
Hexadecimal	0xCA452

Divisor Catalog (16)

1 2 3 6 11 22 33 66 12,553 25,106 37,659 75,318 138,083 276,166 414,249 828,498

Collatz Trajectory (144 steps to reach 1)

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

828,498 414,249 1,242,748 621,374 310,687 932,062 466,031 1,398,094 699,047 2,097,142 1,048,571 3,145,714 1,572,857 4,718,572 2,359,286 1,179,643 3,538,930 1,769,465 5,308,396 2,654,198 1,327,099 3,981,298 1,990,649 5,971,948 2,985,974 1,492,987 4,478,962 2,239,481 6,718,444 3,359,222 1,679,611 5,038,834 2,519,417 7,558,252 3,779,126 1,889,563 5,668,690 2,834,345 8,503,036 4,251,518 2,125,759 6,377,278 3,188,639 9,565,918 4,782,959 14,348,878 7,174,439 21,523,318 10,761,659 32,284,978 16,142,489 48,427,468 24,213,734 12,106,867 36,320,602 18,160,301 54,480,904 27,240,452 13,620,226 6,810,113

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