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8,727,752

23 × 11 × 412 × 59
Abundant Even Composite

8,727,752 factors as 2^3 × 11 × 41^2 × 59. Its 48 positive divisors give a proper-divisor sum of 9,880,648, so this integer is abundant. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 41^2 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,608,400
Proper Divisor Sum 9,880,648
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8727731 ← → #8727757

Radix Representation

Decimal 8727752
Binary 100001010010110011001000 (24 bits)
Octal 0o41226310
Hexadecimal 0x852CC8

Divisor Catalog (48)

1 2 4 8 11 22 41 44 59 82 88 118 164 236 328 451 472 649 902 1,298 1,681 1,804 2,419 2,596 3,362 3,608 4,838 5,192 6,724 9,676 13,448 18,491 19,352 26,609 36,982 53,218 73,964 99,179 106,436 147,928 198,358 212,872 396,716 793,432 1,090,969 2,181,938 4,363,876 8,727,752

Collatz Trajectory (274 steps to reach 1)

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

8,727,752 4,363,876 2,181,938 1,090,969 3,272,908 1,636,454 818,227 2,454,682 1,227,341 3,682,024 1,841,012 920,506 460,253 1,380,760 690,380 345,190 172,595 517,786 258,893 776,680 388,340 194,170 97,085 291,256 145,628 72,814 36,407 109,222 54,611 163,834 81,917 245,752 122,876 61,438 30,719 92,158 46,079 138,238 69,119 207,358 103,679 311,038 155,519 466,558 233,279 699,838 349,919 1,049,758 524,879 1,574,638 787,319 2,361,958 1,180,979 3,542,938 1,771,469 5,314,408 2,657,204 1,328,602 664,301 1,992,904

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