57,746,824

2³ × 17² × 24977

57,746,824 factors as 2^3 × 17^2 × 24977. Its 24 positive divisors give a proper-divisor sum of 57,276,866, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^3 × 17^2 × 24977

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 115,023,690

Proper Divisor Sum 57,276,866

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #57746797 ← → #57746827

Radix Representation

Decimal	57746824
Binary	11011100010010010110001000 (26 bits)
Octal	0o334222610
Hexadecimal	0x3712588

Divisor Catalog (24)

Collatz Trajectory (176 steps to reach 1)

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

57,746,824 28,873,412 14,436,706 7,218,353 21,655,060 10,827,530 5,413,765 16,241,296 8,120,648 4,060,324 2,030,162 1,015,081 3,045,244 1,522,622 761,311 2,283,934 1,141,967 3,425,902 1,712,951 5,138,854 2,569,427 7,708,282 3,854,141 11,562,424 5,781,212 2,890,606 1,445,303 4,335,910 2,167,955 6,503,866 3,251,933 9,755,800 4,877,900 2,438,950 1,219,475 3,658,426 1,829,213 5,487,640 2,743,820 1,371,910 685,955 2,057,866 1,028,933 3,086,800 1,543,400 771,700 385,850 192,925 578,776 289,388 144,694 72,347 217,042 108,521 325,564 162,782 81,391 244,174 122,087 366,262

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