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Atlas › Integer Profiles › Node 9,950,080

9,950,080

27 × 5 × 7 × 2221
Abundant Even Composite

9,950,080 factors as 2^7 × 5 × 7 × 2221. Its 64 positive divisors give a proper-divisor sum of 17,247,200, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 7 × 2221
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 27,197,280
Proper Divisor Sum 17,247,200
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9950063 ← → #9950081

Radix Representation

Decimal 9950080
Binary 100101111101001110000000 (24 bits)
Octal 0o45751600
Hexadecimal 0x97D380

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1,120 2,221 2,240 4,442 4,480 8,884 11,105 15,547 17,768 22,210 31,094 35,536 44,420 62,188 71,072 77,735 88,840 124,376 142,144 155,470 177,680 248,752 284,288 310,940 355,360 497,504 621,880 710,720 995,008 1,243,760 1,421,440

Collatz Trajectory (163 steps to reach 1)

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

9,950,080 4,975,040 2,487,520 1,243,760 621,880 310,940 155,470 77,735 233,206 116,603 349,810 174,905 524,716 262,358 131,179 393,538 196,769 590,308 295,154 147,577 442,732 221,366 110,683 332,050 166,025 498,076 249,038 124,519 373,558 186,779 560,338 280,169 840,508 420,254 210,127 630,382 315,191 945,574 472,787 1,418,362 709,181 2,127,544 1,063,772 531,886 265,943 797,830 398,915 1,196,746 598,373 1,795,120 897,560 448,780 224,390 112,195 336,586 168,293 504,880 252,440 126,220 63,110

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