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74,711,200

25 × 52 × 47 × 1987
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5^2 × 47 × 1987
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 186,363,072
Proper Divisor Sum 111,651,872
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #74711183 ← → #74711207

Radix Representation

Decimal 74711200
Binary 100011101000000000010100000 (27 bits)
Octal 0o435000240
Hexadecimal 0x47400A0

Divisor Catalog (60 of 72)

1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 470 752 800 940 1,175 1,504 1,880 1,987 2,350 3,760 3,974 4,700 7,520 7,948 9,400 9,935 15,896 18,800 19,870 31,792 37,600 39,740 49,675 63,584 79,480 93,389 99,350 158,960 186,778 198,700 317,920 373,556 397,400 466,945 747,112 794,800 933,890 1,494,224

Collatz Trajectory (197 steps to reach 1)

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

74,711,200 37,355,600 18,677,800 9,338,900 4,669,450 2,334,725 7,004,176 3,502,088 1,751,044 875,522 437,761 1,313,284 656,642 328,321 984,964 492,482 246,241 738,724 369,362 184,681 554,044 277,022 138,511 415,534 207,767 623,302 311,651 934,954 467,477 1,402,432 701,216 350,608 175,304 87,652 43,826 21,913 65,740 32,870 16,435 49,306 24,653 73,960 36,980 18,490 9,245 27,736 13,868 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195

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