λ
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Atlas › Integer Profiles › Node 9,966,190

9,966,190

2 × 5 × 13 × 31 × 2473
Abundant Even Composite

9,966,190 factors as 2 × 5 × 13 × 31 × 2473. Its 32 positive divisors give a proper-divisor sum of 9,984,146, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 31 × 2473
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,950,336
Proper Divisor Sum 9,984,146
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9966167 ← → #9966191

Radix Representation

Decimal 9966190
Binary 100110000001001001101110 (24 bits)
Octal 0o46011156
Hexadecimal 0x98126E

Divisor Catalog (32)

1 2 5 10 13 26 31 62 65 130 155 310 403 806 2,015 2,473 4,030 4,946 12,365 24,730 32,149 64,298 76,663 153,326 160,745 321,490 383,315 766,630 996,619 1,993,238 4,983,095 9,966,190

Collatz Trajectory (137 steps to reach 1)

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

9,966,190 4,983,095 14,949,286 7,474,643 22,423,930 11,211,965 33,635,896 16,817,948 8,408,974 4,204,487 12,613,462 6,306,731 18,920,194 9,460,097 28,380,292 14,190,146 7,095,073 21,285,220 10,642,610 5,321,305 15,963,916 7,981,958 3,990,979 11,972,938 5,986,469 17,959,408 8,979,704 4,489,852 2,244,926 1,122,463 3,367,390 1,683,695 5,051,086 2,525,543 7,576,630 3,788,315 11,364,946 5,682,473 17,047,420 8,523,710 4,261,855 12,785,566 6,392,783 19,178,350 9,589,175 28,767,526 14,383,763 43,151,290 21,575,645 64,726,936 32,363,468 16,181,734 8,090,867 24,272,602 12,136,301 36,408,904 18,204,452 9,102,226 4,551,113 13,653,340

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