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Atlas › Integer Profiles › Node 9,767,970

9,767,970

2 × 32 × 5 × 108533
Abundant Even Composite

9,767,970 factors as 2 × 3^2 × 5 × 108533. Its 24 positive divisors give a proper-divisor sum of 15,628,986, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 108533
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 25,396,956
Proper Divisor Sum 15,628,986
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9767969 ← → #9767977

Radix Representation

Decimal 9767970
Binary 100101010000110000100010 (24 bits)
Octal 0o45206042
Hexadecimal 0x950C22

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 108,533 217,066 325,599 542,665 651,198 976,797 1,085,330 1,627,995 1,953,594 3,255,990 4,883,985 9,767,970

Collatz Trajectory (207 steps to reach 1)

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

9,767,970 4,883,985 14,651,956 7,325,978 3,662,989 10,988,968 5,494,484 2,747,242 1,373,621 4,120,864 2,060,432 1,030,216 515,108 257,554 128,777 386,332 193,166 96,583 289,750 144,875 434,626 217,313 651,940 325,970 162,985 488,956 244,478 122,239 366,718 183,359 550,078 275,039 825,118 412,559 1,237,678 618,839 1,856,518 928,259 2,784,778 1,392,389 4,177,168 2,088,584 1,044,292 522,146 261,073 783,220 391,610 195,805 587,416 293,708 146,854 73,427 220,282 110,141 330,424 165,212 82,606 41,303 123,910 61,955

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