4,491,828

2² × 3³ × 11 × 19 × 199

4,491,828 factors as 2^2 × 3^3 × 11 × 19 × 199. Its 96 positive divisors give a proper-divisor sum of 8,948,172, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 11 × 19 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 13,440,000

Proper Divisor Sum 8,948,172

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4491827 ← → #4491829

Radix Representation

Decimal	4491828
Binary	10001001000101000110100 (23 bits)
Octal	0o21105064
Hexadecimal	0x448A34

Divisor Catalog (60 of 96)

1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 199 209 228 297 342 396 398 418 513 594 597 627 684 796 836 1,026 1,188 1,194 1,254 1,791 1,881 2,052 2,189 2,388 2,508 3,582 3,762 3,781 4,378 5,373 5,643 6,567 7,164 7,524

Collatz Trajectory (224 steps to reach 1)

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

4,491,828 2,245,914 1,122,957 3,368,872 1,684,436 842,218 421,109 1,263,328 631,664 315,832 157,916 78,958 39,479 118,438 59,219 177,658 88,829 266,488 133,244 66,622 33,311 99,934 49,967 149,902 74,951 224,854 112,427 337,282 168,641 505,924 252,962 126,481 379,444 189,722 94,861 284,584 142,292 71,146 35,573 106,720 53,360 26,680 13,340 6,670 3,335 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751

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