810,294

2 × 3 × 135049

810,294 factors as 2 × 3 × 135049. Its 8 positive divisors give a proper-divisor sum of 810,306, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2 × 3 × 135049

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,620,600

Proper Divisor Sum 810,306

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #810281 ← → #810307

Radix Representation

Decimal	810294
Binary	11000101110100110110 (20 bits)
Octal	0o3056466
Hexadecimal	0xC5D36

Divisor Catalog (8)

1 2 3 6 135,049 270,098 405,147 810,294

Collatz Trajectory (224 steps to reach 1)

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

810,294 405,147 1,215,442 607,721 1,823,164 911,582 455,791 1,367,374 683,687 2,051,062 1,025,531 3,076,594 1,538,297 4,614,892 2,307,446 1,153,723 3,461,170 1,730,585 5,191,756 2,595,878 1,297,939 3,893,818 1,946,909 5,840,728 2,920,364 1,460,182 730,091 2,190,274 1,095,137 3,285,412 1,642,706 821,353 2,464,060 1,232,030 616,015 1,848,046 924,023 2,772,070 1,386,035 4,158,106 2,079,053 6,237,160 3,118,580 1,559,290 779,645 2,338,936 1,169,468 584,734 292,367 877,102 438,551 1,315,654 657,827 1,973,482 986,741 2,960,224 1,480,112 740,056 370,028 185,014

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