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Atlas › Integer Profiles › Node 41,997,672

41,997,672

23 × 32 × 583301
Abundant Even Composite

41,997,672 factors as 2^3 × 3^2 × 583301. Its 24 positive divisors give a proper-divisor sum of 71,746,218, so this integer is abundant. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 583301
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 113,743,890
Proper Divisor Sum 71,746,218
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #41997643 ← → #41997673

Radix Representation

Decimal 41997672
Binary 10100000001101010101101000 (26 bits)
Octal 0o240152550
Hexadecimal 0x280D568

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 583,301 1,166,602 1,749,903 2,333,204 3,499,806 4,666,408 5,249,709 6,999,612 10,499,418 13,999,224 20,998,836 41,997,672

Collatz Trajectory (266 steps to reach 1)

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

41,997,672 20,998,836 10,499,418 5,249,709 15,749,128 7,874,564 3,937,282 1,968,641 5,905,924 2,952,962 1,476,481 4,429,444 2,214,722 1,107,361 3,322,084 1,661,042 830,521 2,491,564 1,245,782 622,891 1,868,674 934,337 2,803,012 1,401,506 700,753 2,102,260 1,051,130 525,565 1,576,696 788,348 394,174 197,087 591,262 295,631 886,894 443,447 1,330,342 665,171 1,995,514 997,757 2,993,272 1,496,636 748,318 374,159 1,122,478 561,239 1,683,718 841,859 2,525,578 1,262,789 3,788,368 1,894,184 947,092 473,546 236,773 710,320 355,160 177,580 88,790 44,395

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