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Atlas › Integer Profiles › Node 9,767,930

9,767,930

2 × 5 × 61 × 67 × 239
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 61 × 67 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,213,120
Proper Divisor Sum 8,445,190
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9767929 ← → #9767941

Radix Representation

Decimal 9767930
Binary 100101010000101111111010 (24 bits)
Octal 0o45205772
Hexadecimal 0x950BFA

Divisor Catalog (32)

1 2 5 10 61 67 122 134 239 305 335 478 610 670 1,195 2,390 4,087 8,174 14,579 16,013 20,435 29,158 32,026 40,870 72,895 80,065 145,790 160,130 976,793 1,953,586 4,883,965 9,767,930

Collatz Trajectory (220 steps to reach 1)

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

9,767,930 4,883,965 14,651,896 7,325,948 3,662,974 1,831,487 5,494,462 2,747,231 8,241,694 4,120,847 12,362,542 6,181,271 18,543,814 9,271,907 27,815,722 13,907,861 41,723,584 20,861,792 10,430,896 5,215,448 2,607,724 1,303,862 651,931 1,955,794 977,897 2,933,692 1,466,846 733,423 2,200,270 1,100,135 3,300,406 1,650,203 4,950,610 2,475,305 7,425,916 3,712,958 1,856,479 5,569,438 2,784,719 8,354,158 4,177,079 12,531,238 6,265,619 18,796,858 9,398,429 28,195,288 14,097,644 7,048,822 3,524,411 10,573,234 5,286,617 15,859,852 7,929,926 3,964,963 11,894,890 5,947,445 17,842,336 8,921,168 4,460,584 2,230,292

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