794,052

2² × 3² × 7 × 23 × 137

794,052 factors as 2^2 × 3^2 × 7 × 23 × 137. Its 72 positive divisors give a proper-divisor sum of 1,617,084, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 23 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,411,136

Proper Divisor Sum 1,617,084

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #794041 ← → #794063

Radix Representation

Decimal	794052
Binary	11000001110111000100 (20 bits)
Octal	0o3016704
Hexadecimal	0xC1DC4

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 137 138 161 207 252 274 276 322 411 414 483 548 644 822 828 959 966 1,233 1,449 1,644 1,918 1,932 2,466 2,877 2,898 3,151 3,836 4,932 5,754 5,796 6,302 8,631 9,453 11,508 12,604 17,262 18,906 22,057 28,359

Collatz Trajectory (100 steps to reach 1)

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

794,052 397,026 198,513 595,540 297,770 148,885 446,656 223,328 111,664 55,832 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844

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