8,779,752

2³ × 3⁴ × 17 × 797

8,779,752 factors as 2^3 × 3^4 × 17 × 797. Its 80 positive divisors give a proper-divisor sum of 17,290,908, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^3 × 3^4 × 17 × 797

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 26,070,660

Proper Divisor Sum 17,290,908

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8779723 ← → #8779753

Radix Representation

Decimal	8779752
Binary	100001011111011111101000 (24 bits)
Octal	0o41373750
Hexadecimal	0x85F7E8

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 797 918 1,224 1,377 1,594 1,836 2,391 2,754 3,188 3,672 4,782 5,508 6,376 7,173 9,564 11,016 13,549 14,346 19,128 21,519 27,098 28,692 40,647 43,038 54,196 57,384 64,557 81,294

Collatz Trajectory (199 steps to reach 1)

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

8,779,752 4,389,876 2,194,938 1,097,469 3,292,408 1,646,204 823,102 411,551 1,234,654 617,327 1,851,982 925,991 2,777,974 1,388,987 4,166,962 2,083,481 6,250,444 3,125,222 1,562,611 4,687,834 2,343,917 7,031,752 3,515,876 1,757,938 878,969 2,636,908 1,318,454 659,227 1,977,682 988,841 2,966,524 1,483,262 741,631 2,224,894 1,112,447 3,337,342 1,668,671 5,006,014 2,503,007 7,509,022 3,754,511 11,263,534 5,631,767 16,895,302 8,447,651 25,342,954 12,671,477 38,014,432 19,007,216 9,503,608 4,751,804 2,375,902 1,187,951 3,563,854 1,781,927 5,345,782 2,672,891 8,018,674 4,009,337 12,028,012

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