18,744,100

2² × 5² × 187441

18,744,100 factors as 2^2 × 5^2 × 187441. Its 18 positive divisors give a proper-divisor sum of 21,930,814, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 187441

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 40,674,914

Proper Divisor Sum 21,930,814

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #18744097 ← → #18744107

Radix Representation

Decimal	18744100
Binary	1000111100000001100100100 (25 bits)
Octal	0o107401444
Hexadecimal	0x11E0324

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 187,441 374,882 749,764 937,205 1,874,410 3,748,820 4,686,025 9,372,050 18,744,100

Collatz Trajectory (133 steps to reach 1)

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

18,744,100 9,372,050 4,686,025 14,058,076 7,029,038 3,514,519 10,543,558 5,271,779 15,815,338 7,907,669 23,723,008 11,861,504 5,930,752 2,965,376 1,482,688 741,344 370,672 185,336 92,668 46,334 23,167 69,502 34,751 104,254 52,127 156,382 78,191 234,574 117,287 351,862 175,931 527,794 263,897 791,692 395,846 197,923 593,770 296,885 890,656 445,328 222,664 111,332 55,666 27,833 83,500 41,750 20,875 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817

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