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7,501,360

24 × 5 × 41 × 2287
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 41 × 2287
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,873,856
Proper Divisor Sum 10,372,496
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7501339 ← → #7501367

Radix Representation

Decimal 7501360
Binary 11100100111011000110000 (23 bits)
Octal 0o34473060
Hexadecimal 0x727630

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1,640 2,287 3,280 4,574 9,148 11,435 18,296 22,870 36,592 45,740 91,480 93,767 182,960 187,534 375,068 468,835 750,136 937,670 1,500,272 1,875,340 3,750,680 7,501,360

Collatz Trajectory (80 steps to reach 1)

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

7,501,360 3,750,680 1,875,340 937,670 468,835 1,406,506 703,253 2,109,760 1,054,880 527,440 263,720 131,860 65,930 32,965 98,896 49,448 24,724 12,362 6,181 18,544 9,272 4,636 2,318 1,159 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37

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