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Atlas › Integer Profiles › Node 41,585,232

41,585,232

24 × 3 × 13 × 66643
Abundant Even Composite

41,585,232 factors as 2^4 × 3 × 13 × 66643. Its 40 positive divisors give a proper-divisor sum of 74,108,752, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 66643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 115,693,984
Proper Divisor Sum 74,108,752
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #41585227 ← → #41585233

Radix Representation

Decimal 41585232
Binary 10011110101000101001010000 (26 bits)
Octal 0o236505120
Hexadecimal 0x27A8A50

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 66,643 133,286 199,929 266,572 399,858 533,144 799,716 866,359 1,066,288 1,599,432 1,732,718 2,599,077 3,198,864 3,465,436 5,198,154 6,930,872 10,396,308 13,861,744 20,792,616 41,585,232

Collatz Trajectory (129 steps to reach 1)

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

41,585,232 20,792,616 10,396,308 5,198,154 2,599,077 7,797,232 3,898,616 1,949,308 974,654 487,327 1,461,982 730,991 2,192,974 1,096,487 3,289,462 1,644,731 4,934,194 2,467,097 7,401,292 3,700,646 1,850,323 5,550,970 2,775,485 8,326,456 4,163,228 2,081,614 1,040,807 3,122,422 1,561,211 4,683,634 2,341,817 7,025,452 3,512,726 1,756,363 5,269,090 2,634,545 7,903,636 3,951,818 1,975,909 5,927,728 2,963,864 1,481,932 740,966 370,483 1,111,450 555,725 1,667,176 833,588 416,794 208,397 625,192 312,596 156,298 78,149 234,448 117,224 58,612 29,306 14,653 43,960

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