59,989,000

2³ × 5³ × 239 × 251

59,989,000 factors as 2^3 × 5^3 × 239 × 251. Its 64 positive divisors give a proper-divisor sum of 81,534,200, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^3 × 5^3 × 239 × 251

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 141,523,200

Proper Divisor Sum 81,534,200

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #59988989 ← → #59989001

Radix Representation

Decimal	59989000
Binary	11100100110101110000001000 (26 bits)
Octal	0o344656010
Hexadecimal	0x3935C08

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 25 40 50 100 125 200 239 250 251 478 500 502 956 1,000 1,004 1,195 1,255 1,912 2,008 2,390 2,510 4,780 5,020 5,975 6,275 9,560 10,040 11,950 12,550 23,900 25,100 29,875 31,375 47,800 50,200 59,750 59,989 62,750 119,500 119,978 125,500 239,000 239,956 251,000 299,945 479,912 599,890 1,199,780 1,499,725 2,399,560 2,999,450 5,998,900 7,498,625

Collatz Trajectory (189 steps to reach 1)

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

59,989,000 29,994,500 14,997,250 7,498,625 22,495,876 11,247,938 5,623,969 16,871,908 8,435,954 4,217,977 12,653,932 6,326,966 3,163,483 9,490,450 4,745,225 14,235,676 7,117,838 3,558,919 10,676,758 5,338,379 16,015,138 8,007,569 24,022,708 12,011,354 6,005,677 18,017,032 9,008,516 4,504,258 2,252,129 6,756,388 3,378,194 1,689,097 5,067,292 2,533,646 1,266,823 3,800,470 1,900,235 5,700,706 2,850,353 8,551,060 4,275,530 2,137,765 6,413,296 3,206,648 1,603,324 801,662 400,831 1,202,494 601,247 1,803,742 901,871 2,705,614 1,352,807 4,058,422 2,029,211 6,087,634 3,043,817 9,131,452 4,565,726 2,282,863

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