λ
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Atlas › Integer Profiles › Node 4,005,232

4,005,232

24 × 7 × 11 × 3251
Abundant Even Composite

4,005,232 factors as 2^4 × 7 × 11 × 3251. Its 40 positive divisors give a proper-divisor sum of 5,672,720, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 3251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,677,952
Proper Divisor Sum 5,672,720
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #4005229 ← → #4005233

Radix Representation

Decimal 4005232
Binary 1111010001110101110000 (22 bits)
Octal 0o17216560
Hexadecimal 0x3D1D70

Divisor Catalog (40)

1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1,232 3,251 6,502 13,004 22,757 26,008 35,761 45,514 52,016 71,522 91,028 143,044 182,056 250,327 286,088 364,112 500,654 572,176 1,001,308 2,002,616 4,005,232

Collatz Trajectory (141 steps to reach 1)

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

4,005,232 2,002,616 1,001,308 500,654 250,327 750,982 375,491 1,126,474 563,237 1,689,712 844,856 422,428 211,214 105,607 316,822 158,411 475,234 237,617 712,852 356,426 178,213 534,640 267,320 133,660 66,830 33,415 100,246 50,123 150,370 75,185 225,556 112,778 56,389 169,168 84,584 42,292 21,146 10,573 31,720 15,860 7,930 3,965 11,896 5,948 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238

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