λ
Ratio Atlas

41,207,375

53 × 11 × 23 × 1303
Deficient Odd Composite

41,207,375 factors as 5^3 × 11 × 23 × 1303. Its 32 positive divisors give a proper-divisor sum of 17,378,737, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 5^3 × 11 × 23 × 1303
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 58,586,112
Proper Divisor Sum 17,378,737
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #41207363 ← → #41207377

Radix Representation

Decimal 41207375
Binary 10011101001100011001001111 (26 bits)
Octal 0o235143117
Hexadecimal 0x274C64F

Divisor Catalog (32)

Collatz Trajectory (191 steps to reach 1)

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

41,207,375 123,622,126 61,811,063 185,433,190 92,716,595 278,149,786 139,074,893 417,224,680 208,612,340 104,306,170 52,153,085 156,459,256 78,229,628 39,114,814 19,557,407 58,672,222 29,336,111 88,008,334 44,004,167 132,012,502 66,006,251 198,018,754 99,009,377 297,028,132 148,514,066 74,257,033 222,771,100 111,385,550 55,692,775 167,078,326 83,539,163 250,617,490 125,308,745 375,926,236 187,963,118 93,981,559 281,944,678 140,972,339 422,917,018 211,458,509 634,375,528 317,187,764 158,593,882 79,296,941 237,890,824 118,945,412 59,472,706 29,736,353 89,209,060 44,604,530 22,302,265 66,906,796 33,453,398 16,726,699 50,180,098 25,090,049 75,270,148 37,635,074 18,817,537 56,452,612

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