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Atlas › Integer Profiles › Node 10,071,446

10,071,446

2 × 7 × 11 × 17 × 3847
Deficient Even Composite

10,071,446 factors as 2 × 7 × 11 × 17 × 3847. Its 32 positive divisors give a proper-divisor sum of 9,876,586, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 17 × 3847
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,948,032
Proper Divisor Sum 9,876,586
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #10071433 ← → #10071487

Radix Representation

Decimal 10071446
Binary 100110011010110110010110 (24 bits)
Octal 0o46326626
Hexadecimal 0x99AD96

Divisor Catalog (32)

1 2 7 11 14 17 22 34 77 119 154 187 238 374 1,309 2,618 3,847 7,694 26,929 42,317 53,858 65,399 84,634 130,798 296,219 457,793 592,438 719,389 915,586 1,438,778 5,035,723 10,071,446

Collatz Trajectory (207 steps to reach 1)

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

10,071,446 5,035,723 15,107,170 7,553,585 22,660,756 11,330,378 5,665,189 16,995,568 8,497,784 4,248,892 2,124,446 1,062,223 3,186,670 1,593,335 4,780,006 2,390,003 7,170,010 3,585,005 10,755,016 5,377,508 2,688,754 1,344,377 4,033,132 2,016,566 1,008,283 3,024,850 1,512,425 4,537,276 2,268,638 1,134,319 3,402,958 1,701,479 5,104,438 2,552,219 7,656,658 3,828,329 11,484,988 5,742,494 2,871,247 8,613,742 4,306,871 12,920,614 6,460,307 19,380,922 9,690,461 29,071,384 14,535,692 7,267,846 3,633,923 10,901,770 5,450,885 16,352,656 8,176,328 4,088,164 2,044,082 1,022,041 3,066,124 1,533,062 766,531 2,299,594

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