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Atlas › Integer Profiles › Node 9,852,882

9,852,882

2 × 3 × 13 × 59 × 2141
Abundant Even Composite

9,852,882 factors as 2 × 3 × 13 × 59 × 2141. Its 32 positive divisors give a proper-divisor sum of 11,738,478, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 59 × 2141
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,591,360
Proper Divisor Sum 11,738,478
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9852851 ← → #9852889

Radix Representation

Decimal 9852882
Binary 100101100101011111010010 (24 bits)
Octal 0o45453722
Hexadecimal 0x9657D2

Divisor Catalog (32)

1 2 3 6 13 26 39 59 78 118 177 354 767 1,534 2,141 2,301 4,282 4,602 6,423 12,846 27,833 55,666 83,499 126,319 166,998 252,638 378,957 757,914 1,642,147 3,284,294 4,926,441 9,852,882

Collatz Trajectory (163 steps to reach 1)

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

9,852,882 4,926,441 14,779,324 7,389,662 3,694,831 11,084,494 5,542,247 16,626,742 8,313,371 24,940,114 12,470,057 37,410,172 18,705,086 9,352,543 28,057,630 14,028,815 42,086,446 21,043,223 63,129,670 31,564,835 94,694,506 47,347,253 142,041,760 71,020,880 35,510,440 17,755,220 8,877,610 4,438,805 13,316,416 6,658,208 3,329,104 1,664,552 832,276 416,138 208,069 624,208 312,104 156,052 78,026 39,013 117,040 58,520 29,260 14,630 7,315 21,946 10,973 32,920 16,460 8,230 4,115 12,346 6,173 18,520 9,260 4,630 2,315 6,946 3,473 10,420

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