λ
Ratio Atlas

41,223,935

5 × 23 × 29 × 47 × 263
Deficient Odd Composite

41,223,935 factors as 5 × 23 × 29 × 47 × 263. Its 32 positive divisors give a proper-divisor sum of 13,519,105, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 5 × 23 × 29 × 47 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 54,743,040
Proper Divisor Sum 13,519,105
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #41223913 ← → #41223937

Radix Representation

Decimal 41223935
Binary 10011101010000011011111111 (26 bits)
Octal 0o235203377
Hexadecimal 0x27506FF

Divisor Catalog (32)

Collatz Trajectory (191 steps to reach 1)

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

41,223,935 123,671,806 61,835,903 185,507,710 92,753,855 278,261,566 139,130,783 417,392,350 208,696,175 626,088,526 313,044,263 939,132,790 469,566,395 1,408,699,186 704,349,593 2,113,048,780 1,056,524,390 528,262,195 1,584,786,586 792,393,293 2,377,179,880 1,188,589,940 594,294,970 297,147,485 891,442,456 445,721,228 222,860,614 111,430,307 334,290,922 167,145,461 501,436,384 250,718,192 125,359,096 62,679,548 31,339,774 15,669,887 47,009,662 23,504,831 70,514,494 35,257,247 105,771,742 52,885,871 158,657,614 79,328,807 237,986,422 118,993,211 356,979,634 178,489,817 535,469,452 267,734,726 133,867,363 401,602,090 200,801,045 602,403,136 301,201,568 150,600,784 75,300,392 37,650,196 18,825,098 9,412,549

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