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Atlas › Integer Profiles › Node 9,628,308

9,628,308

22 × 34 × 29717
Abundant Even Composite

9,628,308 factors as 2^2 × 3^4 × 29717. Its 30 positive divisors give a proper-divisor sum of 15,542,838, so this integer is abundant. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 29717
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 25,171,146
Proper Divisor Sum 15,542,838
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9628303 ← → #9628309

Radix Representation

Decimal 9628308
Binary 100100101110101010010100 (24 bits)
Octal 0o44565224
Hexadecimal 0x92EA94

Divisor Catalog (30)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 29,717 59,434 89,151 118,868 178,302 267,453 356,604 534,906 802,359 1,069,812 1,604,718 2,407,077 3,209,436 4,814,154 9,628,308

Collatz Trajectory (269 steps to reach 1)

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

9,628,308 4,814,154 2,407,077 7,221,232 3,610,616 1,805,308 902,654 451,327 1,353,982 676,991 2,030,974 1,015,487 3,046,462 1,523,231 4,569,694 2,284,847 6,854,542 3,427,271 10,281,814 5,140,907 15,422,722 7,711,361 23,134,084 11,567,042 5,783,521 17,350,564 8,675,282 4,337,641 13,012,924 6,506,462 3,253,231 9,759,694 4,879,847 14,639,542 7,319,771 21,959,314 10,979,657 32,938,972 16,469,486 8,234,743 24,704,230 12,352,115 37,056,346 18,528,173 55,584,520 27,792,260 13,896,130 6,948,065 20,844,196 10,422,098 5,211,049 15,633,148 7,816,574 3,908,287 11,724,862 5,862,431 17,587,294 8,793,647 26,380,942 13,190,471

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