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Atlas › Integer Profiles › Node 9,697,490

9,697,490

2 × 5 × 11 × 23 × 3833
Abundant Even Composite

9,697,490 factors as 2 × 5 × 11 × 23 × 3833. Its 32 positive divisors give a proper-divisor sum of 10,177,966, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 23 × 3833
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,875,456
Proper Divisor Sum 10,177,966
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9697481 ← → #9697511

Radix Representation

Decimal 9697490
Binary 100100111111100011010010 (24 bits)
Octal 0o44774322
Hexadecimal 0x93F8D2

Divisor Catalog (32)

1 2 5 10 11 22 23 46 55 110 115 230 253 506 1,265 2,530 3,833 7,666 19,165 38,330 42,163 84,326 88,159 176,318 210,815 421,630 440,795 881,590 969,749 1,939,498 4,848,745 9,697,490

Collatz Trajectory (199 steps to reach 1)

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

9,697,490 4,848,745 14,546,236 7,273,118 3,636,559 10,909,678 5,454,839 16,364,518 8,182,259 24,546,778 12,273,389 36,820,168 18,410,084 9,205,042 4,602,521 13,807,564 6,903,782 3,451,891 10,355,674 5,177,837 15,533,512 7,766,756 3,883,378 1,941,689 5,825,068 2,912,534 1,456,267 4,368,802 2,184,401 6,553,204 3,276,602 1,638,301 4,914,904 2,457,452 1,228,726 614,363 1,843,090 921,545 2,764,636 1,382,318 691,159 2,073,478 1,036,739 3,110,218 1,555,109 4,665,328 2,332,664 1,166,332 583,166 291,583 874,750 437,375 1,312,126 656,063 1,968,190 984,095 2,952,286 1,476,143 4,428,430 2,214,215

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