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Atlas › Integer Profiles › Node 10,240,824

10,240,824

23 × 3 × 11 × 38791
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 38791
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,930,240
Proper Divisor Sum 17,689,416
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #10240793 ← → #10240861

Radix Representation

Decimal 10240824
Binary 100111000100001100111000 (24 bits)
Octal 0o47041470
Hexadecimal 0x9C4338

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 38,791 77,582 116,373 155,164 232,746 310,328 426,701 465,492 853,402 930,984 1,280,103 1,706,804 2,560,206 3,413,608 5,120,412 10,240,824

Collatz Trajectory (357 steps to reach 1)

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

10,240,824 5,120,412 2,560,206 1,280,103 3,840,310 1,920,155 5,760,466 2,880,233 8,640,700 4,320,350 2,160,175 6,480,526 3,240,263 9,720,790 4,860,395 14,581,186 7,290,593 21,871,780 10,935,890 5,467,945 16,403,836 8,201,918 4,100,959 12,302,878 6,151,439 18,454,318 9,227,159 27,681,478 13,840,739 41,522,218 20,761,109 62,283,328 31,141,664 15,570,832 7,785,416 3,892,708 1,946,354 973,177 2,919,532 1,459,766 729,883 2,189,650 1,094,825 3,284,476 1,642,238 821,119 2,463,358 1,231,679 3,695,038 1,847,519 5,542,558 2,771,279 8,313,838 4,156,919 12,470,758 6,235,379 18,706,138 9,353,069 28,059,208 14,029,604

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