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41,543,752

23 × 67 × 179 × 433
Deficient Even Composite

41,543,752 factors as 2^3 × 67 × 179 × 433. Its 32 positive divisors give a proper-divisor sum of 38,138,648, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^3 × 67 × 179 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 79,682,400
Proper Divisor Sum 38,138,648
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #41543737 ← → #41543759

Radix Representation

Decimal 41543752
Binary 10011110011110100001001000 (26 bits)
Octal 0o236364110
Hexadecimal 0x279E848

Divisor Catalog (32)

1 2 4 8 67 134 179 268 358 433 536 716 866 1,432 1,732 3,464 11,993 23,986 29,011 47,972 58,022 77,507 95,944 116,044 155,014 232,088 310,028 620,056 5,192,969 10,385,938 20,771,876 41,543,752

Collatz Trajectory (72 steps to reach 1)

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

41,543,752 20,771,876 10,385,938 5,192,969 15,578,908 7,789,454 3,894,727 11,684,182 5,842,091 17,526,274 8,763,137 26,289,412 13,144,706 6,572,353 19,717,060 9,858,530 4,929,265 14,787,796 7,393,898 3,696,949 11,090,848 5,545,424 2,772,712 1,386,356 693,178 346,589 1,039,768 519,884 259,942 129,971 389,914 194,957 584,872 292,436 146,218 73,109 219,328 109,664 54,832 27,416 13,708 6,854 3,427 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34

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