7,587,882

2 × 3² × 17 × 137 × 181

7,587,882 factors as 2 × 3^2 × 17 × 137 × 181. Its 48 positive divisors give a proper-divisor sum of 10,043,550, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 137 × 181

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,631,432

Proper Divisor Sum 10,043,550

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7587863 ← → #7587883

Radix Representation

Decimal	7587882
Binary	11100111100100000101010 (23 bits)
Octal	0o34744052
Hexadecimal	0x73C82A

Divisor Catalog (48)

1 2 3 6 9 17 18 34 51 102 137 153 181 274 306 362 411 543 822 1,086 1,233 1,629 2,329 2,466 3,077 3,258 4,658 6,154 6,987 9,231 13,974 18,462 20,961 24,797 27,693 41,922 49,594 55,386 74,391 148,782 223,173 421,549 446,346 843,098 1,264,647 2,529,294 3,793,941 7,587,882

Collatz Trajectory (173 steps to reach 1)

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

7,587,882 3,793,941 11,381,824 5,690,912 2,845,456 1,422,728 711,364 355,682 177,841 533,524 266,762 133,381 400,144 200,072 100,036 50,018 25,009 75,028 37,514 18,757 56,272 28,136 14,068 7,034 3,517 10,552 5,276 2,638 1,319 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348

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