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3,729,520

24 × 5 × 46619
Abundant Even Composite

3,729,520 factors as 2^4 × 5 × 46619. Its 20 positive divisors give a proper-divisor sum of 4,941,800, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 46619
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,671,320
Proper Divisor Sum 4,941,800
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3729503 ← → #3729521

Radix Representation

Decimal 3729520
Binary 1110001110100001110000 (22 bits)
Octal 0o16164160
Hexadecimal 0x38E870

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 46,619 93,238 186,476 233,095 372,952 466,190 745,904 932,380 1,864,760 3,729,520

Collatz Trajectory (84 steps to reach 1)

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

3,729,520 1,864,760 932,380 466,190 233,095 699,286 349,643 1,048,930 524,465 1,573,396 786,698 393,349 1,180,048 590,024 295,012 147,506 73,753 221,260 110,630 55,315 165,946 82,973 248,920 124,460 62,230 31,115 93,346 46,673 140,020 70,010 35,005 105,016 52,508 26,254 13,127 39,382 19,691 59,074 29,537 88,612 44,306 22,153 66,460 33,230 16,615 49,846 24,923 74,770 37,385 112,156 56,078 28,039 84,118 42,059 126,178 63,089 189,268 94,634 47,317 141,952

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