λ
Ratio Atlas

57,726,591

3 × 13 × 131 × 11299
Deficient Odd Composite

57,726,591 factors as 3 × 13 × 131 × 11299. Its 16 positive divisors give a proper-divisor sum of 25,803,009, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 3 × 13 × 131 × 11299
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 83,529,600
Proper Divisor Sum 25,803,009
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #57726589 ← → #57726601

Radix Representation

Decimal 57726591
Binary 11011100001101011001111111 (26 bits)
Octal 0o334153177
Hexadecimal 0x370D67F

Divisor Catalog (16)

Collatz Trajectory (238 steps to reach 1)

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

57,726,591 173,179,774 86,589,887 259,769,662 129,884,831 389,654,494 194,827,247 584,481,742 292,240,871 876,722,614 438,361,307 1,315,083,922 657,541,961 1,972,625,884 986,312,942 493,156,471 1,479,469,414 739,734,707 2,219,204,122 1,109,602,061 3,328,806,184 1,664,403,092 832,201,546 416,100,773 1,248,302,320 624,151,160 312,075,580 156,037,790 78,018,895 234,056,686 117,028,343 351,085,030 175,542,515 526,627,546 263,313,773 789,941,320 394,970,660 197,485,330 98,742,665 296,227,996 148,113,998 74,056,999 222,170,998 111,085,499 333,256,498 166,628,249 499,884,748 249,942,374 124,971,187 374,913,562 187,456,781 562,370,344 281,185,172 140,592,586 70,296,293 210,888,880 105,444,440 52,722,220 26,361,110 13,180,555

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