48,617,880

2³ × 3 × 5 × 67 × 6047

48,617,880 factors as 2^3 × 3 × 5 × 67 × 6047. Its 64 positive divisors give a proper-divisor sum of 99,437,160, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 67 × 6047

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 148,055,040

Proper Divisor Sum 99,437,160

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #48617879 ← → #48617887

Radix Representation

Decimal	48617880
Binary	10111001011101100110011000 (26 bits)
Octal	0o271354630
Hexadecimal	0x2E5D998

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1,005 1,340 1,608 2,010 2,680 4,020 6,047 8,040 12,094 18,141 24,188 30,235 36,282 48,376 60,470 72,564 90,705 120,940 145,128 181,410 241,880 362,820 405,149 725,640 810,298 1,215,447 1,620,596 2,025,745 2,430,894 3,241,192 4,051,490 4,861,788 6,077,235 8,102,980 9,723,576

Collatz Trajectory (199 steps to reach 1)

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

48,617,880 24,308,940 12,154,470 6,077,235 18,231,706 9,115,853 27,347,560 13,673,780 6,836,890 3,418,445 10,255,336 5,127,668 2,563,834 1,281,917 3,845,752 1,922,876 961,438 480,719 1,442,158 721,079 2,163,238 1,081,619 3,244,858 1,622,429 4,867,288 2,433,644 1,216,822 608,411 1,825,234 912,617 2,737,852 1,368,926 684,463 2,053,390 1,026,695 3,080,086 1,540,043 4,620,130 2,310,065 6,930,196 3,465,098 1,732,549 5,197,648 2,598,824 1,299,412 649,706 324,853 974,560 487,280 243,640 121,820 60,910 30,455 91,366 45,683 137,050 68,525 205,576 102,788 51,394

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