4,492,020

2² × 3 × 5 × 13² × 443

4,492,020 factors as 2^2 × 3 × 5 × 13^2 × 443. Its 72 positive divisors give a proper-divisor sum of 9,158,316, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13^2 × 443

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 13,650,336

Proper Divisor Sum 9,158,316

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4492009 ← → #4492021

Radix Representation

Decimal	4492020
Binary	10001001000101011110100 (23 bits)
Octal	0o21105364
Hexadecimal	0x448AF4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 443 507 676 780 845 886 1,014 1,329 1,690 1,772 2,028 2,215 2,535 2,658 3,380 4,430 5,070 5,316 5,759 6,645 8,860 10,140 11,518 13,290 17,277 23,036 26,580 28,795 34,554 57,590 69,108 74,867 86,385 115,180 149,734

Collatz Trajectory (136 steps to reach 1)

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

4,492,020 2,246,010 1,123,005 3,369,016 1,684,508 842,254 421,127 1,263,382 631,691 1,895,074 947,537 2,842,612 1,421,306 710,653 2,131,960 1,065,980 532,990 266,495 799,486 399,743 1,199,230 599,615 1,798,846 899,423 2,698,270 1,349,135 4,047,406 2,023,703 6,071,110 3,035,555 9,106,666 4,553,333 13,660,000 6,830,000 3,415,000 1,707,500 853,750 426,875 1,280,626 640,313 1,920,940 960,470 480,235 1,440,706 720,353 2,161,060 1,080,530 540,265 1,620,796 810,398 405,199 1,215,598 607,799 1,823,398 911,699 2,735,098 1,367,549 4,102,648 2,051,324 1,025,662

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