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Atlas › Integer Profiles › Node 9,702,270

9,702,270

2 × 32 × 5 × 67 × 1609
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 67 × 1609
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,618,320
Proper Divisor Sum 15,916,050
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9702247 ← → #9702271

Radix Representation

Decimal 9702270
Binary 100101000000101101111110 (24 bits)
Octal 0o45005576
Hexadecimal 0x940B7E

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1,005 1,206 1,609 2,010 3,015 3,218 4,827 6,030 8,045 9,654 14,481 16,090 24,135 28,962 48,270 72,405 107,803 144,810 215,606 323,409 539,015 646,818 970,227 1,078,030 1,617,045 1,940,454 3,234,090 4,851,135 9,702,270

Collatz Trajectory (176 steps to reach 1)

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

9,702,270 4,851,135 14,553,406 7,276,703 21,830,110 10,915,055 32,745,166 16,372,583 49,117,750 24,558,875 73,676,626 36,838,313 110,514,940 55,257,470 27,628,735 82,886,206 41,443,103 124,329,310 62,164,655 186,493,966 93,246,983 279,740,950 139,870,475 419,611,426 209,805,713 629,417,140 314,708,570 157,354,285 472,062,856 236,031,428 118,015,714 59,007,857 177,023,572 88,511,786 44,255,893 132,767,680 66,383,840 33,191,920 16,595,960 8,297,980 4,148,990 2,074,495 6,223,486 3,111,743 9,335,230 4,667,615 14,002,846 7,001,423 21,004,270 10,502,135 31,506,406 15,753,203 47,259,610 23,629,805 70,889,416 35,444,708 17,722,354 8,861,177 26,583,532 13,291,766

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