8,761,740

2² × 3 × 5 × 13 × 47 × 239

8,761,740 factors as 2^2 × 3 × 5 × 13 × 47 × 239. Its 96 positive divisors give a proper-divisor sum of 18,333,300, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 47 × 239

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 27,095,040

Proper Divisor Sum 18,333,300

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8761733 ← → #8761751

Radix Representation

Decimal	8761740
Binary	100001011011000110001100 (24 bits)
Octal	0o41330614
Hexadecimal	0x85B18C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 188 195 235 239 260 282 390 470 478 564 611 705 717 780 940 956 1,195 1,222 1,410 1,434 1,833 2,390 2,444 2,820 2,868 3,055 3,107 3,585 3,666 4,780 6,110 6,214 7,170 7,332 9,165 9,321 11,233

Collatz Trajectory (181 steps to reach 1)

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

8,761,740 4,380,870 2,190,435 6,571,306 3,285,653 9,856,960 4,928,480 2,464,240 1,232,120 616,060 308,030 154,015 462,046 231,023 693,070 346,535 1,039,606 519,803 1,559,410 779,705 2,339,116 1,169,558 584,779 1,754,338 877,169 2,631,508 1,315,754 657,877 1,973,632 986,816 493,408 246,704 123,352 61,676 30,838 15,419 46,258 23,129 69,388 34,694 17,347 52,042 26,021 78,064 39,032 19,516 9,758 4,879 14,638 7,319 21,958 10,979 32,938 16,469 49,408 24,704 12,352 6,176 3,088 1,544

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