4,888,044

2² × 3² × 7² × 17 × 163

4,888,044 factors as 2^2 × 3^2 × 7^2 × 17 × 163. Its 108 positive divisors give a proper-divisor sum of 10,423,980, so this integer is abundant. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7^2 × 17 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 15,312,024

Proper Divisor Sum 10,423,980

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4888043 ← → #4888063

Radix Representation

Decimal	4888044
Binary	10010101001010111101100 (23 bits)
Octal	0o22512754
Hexadecimal	0x4A95EC

Divisor Catalog (60 of 108)

1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 163 196 204 238 252 294 306 326 357 441 476 489 588 612 652 714 833 882 978 1,071 1,141 1,428 1,467 1,666 1,764 1,956 2,142 2,282 2,499 2,771 2,934 3,332 3,423

Collatz Trajectory (206 steps to reach 1)

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

4,888,044 2,444,022 1,222,011 3,666,034 1,833,017 5,499,052 2,749,526 1,374,763 4,124,290 2,062,145 6,186,436 3,093,218 1,546,609 4,639,828 2,319,914 1,159,957 3,479,872 1,739,936 869,968 434,984 217,492 108,746 54,373 163,120 81,560 40,780 20,390 10,195 30,586 15,293 45,880 22,940 11,470 5,735 17,206 8,603 25,810 12,905 38,716 19,358 9,679 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013

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