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Atlas › Integer Profiles › Node 7,503,500

7,503,500

22 × 53 × 43 × 349
Abundant Even Composite

7,503,500 factors as 2^2 × 5^3 × 43 × 349. Its 48 positive divisors give a proper-divisor sum of 9,313,300, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 43 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,816,800
Proper Divisor Sum 9,313,300
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #7503469 ← → #7503521

Radix Representation

Decimal 7503500
Binary 11100100111111010001100 (23 bits)
Octal 0o34477214
Hexadecimal 0x727E8C

Divisor Catalog (48)

1 2 4 5 10 20 25 43 50 86 100 125 172 215 250 349 430 500 698 860 1,075 1,396 1,745 2,150 3,490 4,300 5,375 6,980 8,725 10,750 15,007 17,450 21,500 30,014 34,900 43,625 60,028 75,035 87,250 150,070 174,500 300,140 375,175 750,350 1,500,700 1,875,875 3,751,750 7,503,500

Collatz Trajectory (173 steps to reach 1)

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

7,503,500 3,751,750 1,875,875 5,627,626 2,813,813 8,441,440 4,220,720 2,110,360 1,055,180 527,590 263,795 791,386 395,693 1,187,080 593,540 296,770 148,385 445,156 222,578 111,289 333,868 166,934 83,467 250,402 125,201 375,604 187,802 93,901 281,704 140,852 70,426 35,213 105,640 52,820 26,410 13,205 39,616 19,808 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221

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