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41,293,232

24 × 19 × 41 × 3313
Abundant Even Composite

41,293,232 factors as 2^4 × 19 × 41 × 3313. Its 40 positive divisors give a proper-divisor sum of 45,003,328, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^4 × 19 × 41 × 3313
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 86,296,560
Proper Divisor Sum 45,003,328
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #41293229 ← → #41293237

Radix Representation

Decimal 41293232
Binary 10011101100001010110110000 (26 bits)
Octal 0o235412660
Hexadecimal 0x27615B0

Divisor Catalog (40)

1 2 4 8 16 19 38 41 76 82 152 164 304 328 656 779 1,558 3,116 3,313 6,232 6,626 12,464 13,252 26,504 53,008 62,947 125,894 135,833 251,788 271,666 503,576 543,332 1,007,152 1,086,664 2,173,328 2,580,827 5,161,654 10,323,308 20,646,616 41,293,232

Collatz Trajectory (134 steps to reach 1)

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

41,293,232 20,646,616 10,323,308 5,161,654 2,580,827 7,742,482 3,871,241 11,613,724 5,806,862 2,903,431 8,710,294 4,355,147 13,065,442 6,532,721 19,598,164 9,799,082 4,899,541 14,698,624 7,349,312 3,674,656 1,837,328 918,664 459,332 229,666 114,833 344,500 172,250 86,125 258,376 129,188 64,594 32,297 96,892 48,446 24,223 72,670 36,335 109,006 54,503 163,510 81,755 245,266 122,633 367,900 183,950 91,975 275,926 137,963 413,890 206,945 620,836 310,418 155,209 465,628 232,814 116,407 349,222 174,611 523,834 261,917

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