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Atlas › Integer Profiles › Node 10,074,470

10,074,470

2 × 5 × 7 × 43 × 3347
Abundant Even Composite

10,074,470 factors as 2 × 5 × 7 × 43 × 3347. Its 32 positive divisors give a proper-divisor sum of 11,138,458, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 43 × 3347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,212,928
Proper Divisor Sum 11,138,458
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #10074469 ← → #10074481

Radix Representation

Decimal 10074470
Binary 100110011011100101100110 (24 bits)
Octal 0o46334546
Hexadecimal 0x99B966

Divisor Catalog (32)

1 2 5 7 10 14 35 43 70 86 215 301 430 602 1,505 3,010 3,347 6,694 16,735 23,429 33,470 46,858 117,145 143,921 234,290 287,842 719,605 1,007,447 1,439,210 2,014,894 5,037,235 10,074,470

Collatz Trajectory (158 steps to reach 1)

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

10,074,470 5,037,235 15,111,706 7,555,853 22,667,560 11,333,780 5,666,890 2,833,445 8,500,336 4,250,168 2,125,084 1,062,542 531,271 1,593,814 796,907 2,390,722 1,195,361 3,586,084 1,793,042 896,521 2,689,564 1,344,782 672,391 2,017,174 1,008,587 3,025,762 1,512,881 4,538,644 2,269,322 1,134,661 3,403,984 1,701,992 850,996 425,498 212,749 638,248 319,124 159,562 79,781 239,344 119,672 59,836 29,918 14,959 44,878 22,439 67,318 33,659 100,978 50,489 151,468 75,734 37,867 113,602 56,801 170,404 85,202 42,601 127,804 63,902

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