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Atlas › Integer Profiles › Node 3,937,632

3,937,632

25 × 3 × 41017
Abundant Even Composite

3,937,632 factors as 2^5 × 3 × 41017. Its 24 positive divisors give a proper-divisor sum of 6,398,904, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 41017
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,336,536
Proper Divisor Sum 6,398,904
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3937631 ← → #3937643

Radix Representation

Decimal 3937632
Binary 1111000001010101100000 (22 bits)
Octal 0o17012540
Hexadecimal 0x3C1560

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 41,017 82,034 123,051 164,068 246,102 328,136 492,204 656,272 984,408 1,312,544 1,968,816 3,937,632

Collatz Trajectory (66 steps to reach 1)

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

3,937,632 1,968,816 984,408 492,204 246,102 123,051 369,154 184,577 553,732 276,866 138,433 415,300 207,650 103,825 311,476 155,738 77,869 233,608 116,804 58,402 29,201 87,604 43,802 21,901 65,704 32,852 16,426 8,213 24,640 12,320 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20

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