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9,002,010

2 × 3 × 5 × 17 × 19 × 929
Abundant Even Composite

9,002,010 factors as 2 × 3 × 5 × 17 × 19 × 929. Its 64 positive divisors give a proper-divisor sum of 15,103,590, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 17 × 19 × 929
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 24,105,600
Proper Divisor Sum 15,103,590
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #9002009 ← → #9002011

Radix Representation

Decimal 9002010
Binary 100010010101110000011010 (24 bits)
Octal 0o42256032
Hexadecimal 0x895C1A

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 929 969 1,615 1,858 1,938 2,787 3,230 4,645 4,845 5,574 9,290 9,690 13,935 15,793 17,651 27,870 31,586 35,302 47,379 52,953 78,965 88,255 94,758 105,906 157,930 176,510 236,895 264,765 300,067 473,790 529,530 600,134 900,201 1,500,335

Collatz Trajectory (137 steps to reach 1)

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

9,002,010 4,501,005 13,503,016 6,751,508 3,375,754 1,687,877 5,063,632 2,531,816 1,265,908 632,954 316,477 949,432 474,716 237,358 118,679 356,038 178,019 534,058 267,029 801,088 400,544 200,272 100,136 50,068 25,034 12,517 37,552 18,776 9,388 4,694 2,347 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538

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