59,625,960

2³ × 3 × 5 × 131 × 3793

59,625,960 factors as 2^3 × 3 × 5 × 131 × 3793. Its 64 positive divisors give a proper-divisor sum of 120,664,920, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 131 × 3793

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 180,290,880

Proper Divisor Sum 120,664,920

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #59625949 ← → #59625967

Radix Representation

Decimal	59625960
Binary	11100011011101000111101000 (26 bits)
Octal	0o343350750
Hexadecimal	0x38DD1E8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1,048 1,310 1,572 1,965 2,620 3,144 3,793 3,930 5,240 7,586 7,860 11,379 15,172 15,720 18,965 22,758 30,344 37,930 45,516 56,895 75,860 91,032 113,790 151,720 227,580 455,160 496,883 993,766 1,490,649 1,987,532 2,484,415 2,981,298 3,975,064 4,968,830 5,962,596 7,453,245 9,937,660 11,925,192

Collatz Trajectory (145 steps to reach 1)

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

59,625,960 29,812,980 14,906,490 7,453,245 22,359,736 11,179,868 5,589,934 2,794,967 8,384,902 4,192,451 12,577,354 6,288,677 18,866,032 9,433,016 4,716,508 2,358,254 1,179,127 3,537,382 1,768,691 5,306,074 2,653,037 7,959,112 3,979,556 1,989,778 994,889 2,984,668 1,492,334 746,167 2,238,502 1,119,251 3,357,754 1,678,877 5,036,632 2,518,316 1,259,158 629,579 1,888,738 944,369 2,833,108 1,416,554 708,277 2,124,832 1,062,416 531,208 265,604 132,802 66,401 199,204 99,602 49,801 149,404 74,702 37,351 112,054 56,027 168,082 84,041 252,124 126,062 63,031

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