57,724,155

3² × 5 × 53 × 24203

57,724,155 factors as 3^2 × 5 × 53 × 24203. Its 24 positive divisors give a proper-divisor sum of 44,223,093, so this integer is deficient. The Collatz stopping time is 300 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 53 × 24203

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 101,947,248

Proper Divisor Sum 44,223,093

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #57724153 ← → #57724157

Radix Representation

Decimal	57724155
Binary	11011100001100110011111011 (26 bits)
Octal	0o334146373
Hexadecimal	0x370CCFB

Divisor Catalog (24)

Collatz Trajectory (300 steps to reach 1)

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

57,724,155 173,172,466 86,586,233 259,758,700 129,879,350 64,939,675 194,819,026 97,409,513 292,228,540 146,114,270 73,057,135 219,171,406 109,585,703 328,757,110 164,378,555 493,135,666 246,567,833 739,703,500 369,851,750 184,925,875 554,777,626 277,388,813 832,166,440 416,083,220 208,041,610 104,020,805 312,062,416 156,031,208 78,015,604 39,007,802 19,503,901 58,511,704 29,255,852 14,627,926 7,313,963 21,941,890 10,970,945 32,912,836 16,456,418 8,228,209 24,684,628 12,342,314 6,171,157 18,513,472 9,256,736 4,628,368 2,314,184 1,157,092 578,546 289,273 867,820 433,910 216,955 650,866 325,433 976,300 488,150 244,075 732,226 366,113

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