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Atlas › Integer Profiles › Node 9,707,628

9,707,628

22 × 3 × 7 × 163 × 709
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 163 × 709
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,082,560
Proper Divisor Sum 16,374,932
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9707627 ← → #9707641

Radix Representation

Decimal 9707628
Binary 100101000010000001101100 (24 bits)
Octal 0o45020154
Hexadecimal 0x94206C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 163 326 489 652 709 978 1,141 1,418 1,956 2,127 2,282 2,836 3,423 4,254 4,564 4,963 6,846 8,508 9,926 13,692 14,889 19,852 29,778 59,556 115,567 231,134 346,701 462,268 693,402 808,969 1,386,804 1,617,938 2,426,907 3,235,876 4,853,814 9,707,628

Collatz Trajectory (176 steps to reach 1)

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

9,707,628 4,853,814 2,426,907 7,280,722 3,640,361 10,921,084 5,460,542 2,730,271 8,190,814 4,095,407 12,286,222 6,143,111 18,429,334 9,214,667 27,644,002 13,822,001 41,466,004 20,733,002 10,366,501 31,099,504 15,549,752 7,774,876 3,887,438 1,943,719 5,831,158 2,915,579 8,746,738 4,373,369 13,120,108 6,560,054 3,280,027 9,840,082 4,920,041 14,760,124 7,380,062 3,690,031 11,070,094 5,535,047 16,605,142 8,302,571 24,907,714 12,453,857 37,361,572 18,680,786 9,340,393 28,021,180 14,010,590 7,005,295 21,015,886 10,507,943 31,523,830 15,761,915 47,285,746 23,642,873 70,928,620 35,464,310 17,732,155 53,196,466 26,598,233 79,794,700

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