3,757,400

2³ × 5² × 18787

3,757,400 factors as 2^3 × 5^2 × 18787. Its 24 positive divisors give a proper-divisor sum of 4,979,020, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 18787

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,736,420

Proper Divisor Sum 4,979,020

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3757399 ← → #3757423

Radix Representation

Decimal	3757400
Binary	1110010101010101011000 (22 bits)
Octal	0o16252530
Hexadecimal	0x395558

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 18,787 37,574 75,148 93,935 150,296 187,870 375,740 469,675 751,480 939,350 1,878,700 3,757,400

Collatz Trajectory (185 steps to reach 1)

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

3,757,400 1,878,700 939,350 469,675 1,409,026 704,513 2,113,540 1,056,770 528,385 1,585,156 792,578 396,289 1,188,868 594,434 297,217 891,652 445,826 222,913 668,740 334,370 167,185 501,556 250,778 125,389 376,168 188,084 94,042 47,021 141,064 70,532 35,266 17,633 52,900 26,450 13,225 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219 150,658 75,329 225,988 112,994 56,497 169,492 84,746 42,373 127,120 63,560 31,780 15,890 7,945 23,836

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