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Atlas › Integer Profiles › Node 4,870,170

4,870,170

2 × 32 × 5 × 53 × 1021
Abundant Even Composite

4,870,170 factors as 2 × 3^2 × 5 × 53 × 1021. Its 48 positive divisors give a proper-divisor sum of 8,043,822, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 53 × 1021
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,913,992
Proper Divisor Sum 8,043,822
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4870157 ← → #4870171

Radix Representation

Decimal 4870170
Binary 10010100101000000011010 (23 bits)
Octal 0o22450032
Hexadecimal 0x4A501A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1,021 1,590 2,042 2,385 3,063 4,770 5,105 6,126 9,189 10,210 15,315 18,378 30,630 45,945 54,113 91,890 108,226 162,339 270,565 324,678 487,017 541,130 811,695 974,034 1,623,390 2,435,085 4,870,170

Collatz Trajectory (118 steps to reach 1)

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

4,870,170 2,435,085 7,305,256 3,652,628 1,826,314 913,157 2,739,472 1,369,736 684,868 342,434 171,217 513,652 256,826 128,413 385,240 192,620 96,310 48,155 144,466 72,233 216,700 108,350 54,175 162,526 81,263 243,790 121,895 365,686 182,843 548,530 274,265 822,796 411,398 205,699 617,098 308,549 925,648 462,824 231,412 115,706 57,853 173,560 86,780 43,390 21,695 65,086 32,543 97,630 48,815 146,446 73,223 219,670 109,835 329,506 164,753 494,260 247,130 123,565 370,696 185,348

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