4,165,150

2 × 5² × 11 × 7573

4,165,150 factors as 2 × 5^2 × 11 × 7573. Its 24 positive divisors give a proper-divisor sum of 4,287,434, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 7573

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,452,584

Proper Divisor Sum 4,287,434

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4165103 ← → #4165157

Radix Representation

Decimal	4165150
Binary	1111111000111000011110 (22 bits)
Octal	0o17707036
Hexadecimal	0x3F8E1E

Divisor Catalog (24)

Collatz Trajectory (159 steps to reach 1)

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

4,165,150 2,082,575 6,247,726 3,123,863 9,371,590 4,685,795 14,057,386 7,028,693 21,086,080 10,543,040 5,271,520 2,635,760 1,317,880 658,940 329,470 164,735 494,206 247,103 741,310 370,655 1,111,966 555,983 1,667,950 833,975 2,501,926 1,250,963 3,752,890 1,876,445 5,629,336 2,814,668 1,407,334 703,667 2,111,002 1,055,501 3,166,504 1,583,252 791,626 395,813 1,187,440 593,720 296,860 148,430 74,215 222,646 111,323 333,970 166,985 500,956 250,478 125,239 375,718 187,859 563,578 281,789 845,368 422,684 211,342 105,671 317,014 158,507

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