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Atlas › Integer Profiles › Node 9,703,590

9,703,590

2 × 3 × 5 × 13 × 139 × 179
Abundant Even Composite

9,703,590 factors as 2 × 3 × 5 × 13 × 139 × 179. Its 64 positive divisors give a proper-divisor sum of 15,698,010, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 139 × 179
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,401,600
Proper Divisor Sum 15,698,010
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9703579 ← → #9703597

Radix Representation

Decimal 9703590
Binary 100101000001000010100110 (24 bits)
Octal 0o45010246
Hexadecimal 0x9410A6

Divisor Catalog (60 of 64)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 139 179 195 278 358 390 417 537 695 834 895 1,074 1,390 1,790 1,807 2,085 2,327 2,685 3,614 4,170 4,654 5,370 5,421 6,981 9,035 10,842 11,635 13,962 18,070 23,270 24,881 27,105 34,905 49,762 54,210 69,810 74,643 124,405 149,286 248,810 323,453 373,215 646,906 746,430 970,359 1,617,265

Collatz Trajectory (238 steps to reach 1)

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

9,703,590 4,851,795 14,555,386 7,277,693 21,833,080 10,916,540 5,458,270 2,729,135 8,187,406 4,093,703 12,281,110 6,140,555 18,421,666 9,210,833 27,632,500 13,816,250 6,908,125 20,724,376 10,362,188 5,181,094 2,590,547 7,771,642 3,885,821 11,657,464 5,828,732 2,914,366 1,457,183 4,371,550 2,185,775 6,557,326 3,278,663 9,835,990 4,917,995 14,753,986 7,376,993 22,130,980 11,065,490 5,532,745 16,598,236 8,299,118 4,149,559 12,448,678 6,224,339 18,673,018 9,336,509 28,009,528 14,004,764 7,002,382 3,501,191 10,503,574 5,251,787 15,755,362 7,877,681 23,633,044 11,816,522 5,908,261 17,724,784 8,862,392 4,431,196 2,215,598

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