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Atlas › Integer Profiles › Node 9,986,370

9,986,370

2 × 3 × 5 × 23 × 41 × 353
Abundant Even Composite

9,986,370 factors as 2 × 3 × 5 × 23 × 41 × 353. Its 64 positive divisors give a proper-divisor sum of 15,705,534, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 23 × 41 × 353
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,691,904
Proper Divisor Sum 15,705,534
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9986369 ← → #9986377

Radix Representation

Decimal 9986370
Binary 100110000110000101000010 (24 bits)
Octal 0o46060502
Hexadecimal 0x986142

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 23 30 41 46 69 82 115 123 138 205 230 246 345 353 410 615 690 706 943 1,059 1,230 1,765 1,886 2,118 2,829 3,530 4,715 5,295 5,658 8,119 9,430 10,590 14,145 14,473 16,238 24,357 28,290 28,946 40,595 43,419 48,714 72,365 81,190 86,838 121,785 144,730 217,095 243,570 332,879 434,190 665,758 998,637 1,664,395

Collatz Trajectory (132 steps to reach 1)

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

9,986,370 4,993,185 14,979,556 7,489,778 3,744,889 11,234,668 5,617,334 2,808,667 8,426,002 4,213,001 12,639,004 6,319,502 3,159,751 9,479,254 4,739,627 14,218,882 7,109,441 21,328,324 10,664,162 5,332,081 15,996,244 7,998,122 3,999,061 11,997,184 5,998,592 2,999,296 1,499,648 749,824 374,912 187,456 93,728 46,864 23,432 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

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