8,888,544

2⁵ × 3² × 7 × 4409

8,888,544 factors as 2^5 × 3^2 × 7 × 4409. Its 72 positive divisors give a proper-divisor sum of 20,005,776, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 4409

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 28,894,320

Proper Divisor Sum 20,005,776

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8888531 ← → #8888549

Radix Representation

Decimal	8888544
Binary	100001111010000011100000 (24 bits)
Octal	0o41720340
Hexadecimal	0x87A0E0

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1,008 2,016 4,409 8,818 13,227 17,636 26,454 30,863 35,272 39,681 52,908 61,726 70,544 79,362 92,589 105,816 123,452 141,088 158,724 185,178 211,632 246,904 277,767 317,448 370,356 423,264

Collatz Trajectory (225 steps to reach 1)

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

8,888,544 4,444,272 2,222,136 1,111,068 555,534 277,767 833,302 416,651 1,249,954 624,977 1,874,932 937,466 468,733 1,406,200 703,100 351,550 175,775 527,326 263,663 790,990 395,495 1,186,486 593,243 1,779,730 889,865 2,669,596 1,334,798 667,399 2,002,198 1,001,099 3,003,298 1,501,649 4,504,948 2,252,474 1,126,237 3,378,712 1,689,356 844,678 422,339 1,267,018 633,509 1,900,528 950,264 475,132 237,566 118,783 356,350 178,175 534,526 267,263 801,790 400,895 1,202,686 601,343 1,804,030 902,015 2,706,046 1,353,023 4,059,070 2,029,535

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