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Atlas › Integer Profiles › Node 9,861,372

9,861,372

22 × 33 × 91309
Abundant Even Composite

9,861,372 factors as 2^2 × 3^3 × 91309. Its 24 positive divisors give a proper-divisor sum of 15,705,428, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 91309
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 25,566,800
Proper Divisor Sum 15,705,428
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9861367 ← → #9861373

Radix Representation

Decimal 9861372
Binary 100101100111100011111100 (24 bits)
Octal 0o45474374
Hexadecimal 0x9678FC

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 91,309 182,618 273,927 365,236 547,854 821,781 1,095,708 1,643,562 2,465,343 3,287,124 4,930,686 9,861,372

Collatz Trajectory (145 steps to reach 1)

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

9,861,372 4,930,686 2,465,343 7,396,030 3,698,015 11,094,046 5,547,023 16,641,070 8,320,535 24,961,606 12,480,803 37,442,410 18,721,205 56,163,616 28,081,808 14,040,904 7,020,452 3,510,226 1,755,113 5,265,340 2,632,670 1,316,335 3,949,006 1,974,503 5,923,510 2,961,755 8,885,266 4,442,633 13,327,900 6,663,950 3,331,975 9,995,926 4,997,963 14,993,890 7,496,945 22,490,836 11,245,418 5,622,709 16,868,128 8,434,064 4,217,032 2,108,516 1,054,258 527,129 1,581,388 790,694 395,347 1,186,042 593,021 1,779,064 889,532 444,766 222,383 667,150 333,575 1,000,726 500,363 1,501,090 750,545 2,251,636

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