59,244,129

3⁵ × 7 × 29 × 1201

59,244,129 factors as 3^5 × 7 × 29 × 1201. Its 48 positive divisors give a proper-divisor sum of 45,762,591, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 3^5 × 7 × 29 × 1201

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 105,006,720

Proper Divisor Sum 45,762,591

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #59244077 ← → #59244173

Radix Representation

Decimal	59244129
Binary	11100001111111111001100001 (26 bits)
Octal	0o341777141
Hexadecimal	0x387FE61

Divisor Catalog (48)

Collatz Trajectory (168 steps to reach 1)

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

59,244,129 177,732,388 88,866,194 44,433,097 133,299,292 66,649,646 33,324,823 99,974,470 49,987,235 149,961,706 74,980,853 224,942,560 112,471,280 56,235,640 28,117,820 14,058,910 7,029,455 21,088,366 10,544,183 31,632,550 15,816,275 47,448,826 23,724,413 71,173,240 35,586,620 17,793,310 8,896,655 26,689,966 13,344,983 40,034,950 20,017,475 60,052,426 30,026,213 90,078,640 45,039,320 22,519,660 11,259,830 5,629,915 16,889,746 8,444,873 25,334,620 12,667,310 6,333,655 19,000,966 9,500,483 28,501,450 14,250,725 42,752,176 21,376,088 10,688,044 5,344,022 2,672,011 8,016,034 4,008,017 12,024,052 6,012,026 3,006,013 9,018,040 4,509,020 2,254,510

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