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Atlas › Integer Profiles › Node 9,422,910

9,422,910

2 × 32 × 5 × 7 × 14957
Abundant Even Composite

9,422,910 factors as 2 × 3^2 × 5 × 7 × 14957. Its 48 positive divisors give a proper-divisor sum of 18,578,466, so this integer is abundant. The Collatz stopping time is 300 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 14957
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 28,001,376
Proper Divisor Sum 18,578,466
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9422887 ← → #9422911

Radix Representation

Decimal 9422910
Binary 100011111100100000111110 (24 bits)
Octal 0o43744076
Hexadecimal 0x8FC83E

Divisor Catalog (48)

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 14,957 29,914 44,871 74,785 89,742 104,699 134,613 149,570 209,398 224,355 269,226 314,097 448,710 523,495 628,194 673,065 942,291 1,046,990 1,346,130 1,570,485 1,884,582 3,140,970 4,711,455 9,422,910

Collatz Trajectory (300 steps to reach 1)

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

9,422,910 4,711,455 14,134,366 7,067,183 21,201,550 10,600,775 31,802,326 15,901,163 47,703,490 23,851,745 71,555,236 35,777,618 17,888,809 53,666,428 26,833,214 13,416,607 40,249,822 20,124,911 60,374,734 30,187,367 90,562,102 45,281,051 135,843,154 67,921,577 203,764,732 101,882,366 50,941,183 152,823,550 76,411,775 229,235,326 114,617,663 343,852,990 171,926,495 515,779,486 257,889,743 773,669,230 386,834,615 1,160,503,846 580,251,923 1,740,755,770 870,377,885 2,611,133,656 1,305,566,828 652,783,414 326,391,707 979,175,122 489,587,561 1,468,762,684 734,381,342 367,190,671 1,101,572,014 550,786,007 1,652,358,022 826,179,011 2,478,537,034 1,239,268,517 3,717,805,552 1,858,902,776 929,451,388 464,725,694

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