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Atlas › Integer Profiles › Node 8,890,170

8,890,170

2 × 3 × 5 × 401 × 739
Abundant Even Composite

8,890,170 factors as 2 × 3 × 5 × 401 × 739. Its 32 positive divisors give a proper-divisor sum of 12,528,390, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 401 × 739
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,418,560
Proper Divisor Sum 12,528,390
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8890129 ← → #8890187

Radix Representation

Decimal 8890170
Binary 100001111010011100111010 (24 bits)
Octal 0o41723472
Hexadecimal 0x87A73A

Divisor Catalog (32)

1 2 3 5 6 10 15 30 401 739 802 1,203 1,478 2,005 2,217 2,406 3,695 4,010 4,434 6,015 7,390 11,085 12,030 22,170 296,339 592,678 889,017 1,481,695 1,778,034 2,963,390 4,445,085 8,890,170

Collatz Trajectory (212 steps to reach 1)

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

8,890,170 4,445,085 13,335,256 6,667,628 3,333,814 1,666,907 5,000,722 2,500,361 7,501,084 3,750,542 1,875,271 5,625,814 2,812,907 8,438,722 4,219,361 12,658,084 6,329,042 3,164,521 9,493,564 4,746,782 2,373,391 7,120,174 3,560,087 10,680,262 5,340,131 16,020,394 8,010,197 24,030,592 12,015,296 6,007,648 3,003,824 1,501,912 750,956 375,478 187,739 563,218 281,609 844,828 422,414 211,207 633,622 316,811 950,434 475,217 1,425,652 712,826 356,413 1,069,240 534,620 267,310 133,655 400,966 200,483 601,450 300,725 902,176 451,088 225,544 112,772 56,386

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