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Atlas › Integer Profiles › Node 9,507,834

9,507,834

2 × 33 × 7 × 25153
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 25153
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,147,840
Proper Divisor Sum 14,640,006
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9507833 ← → #9507863

Radix Representation

Decimal 9507834
Binary 100100010001001111111010 (24 bits)
Octal 0o44211772
Hexadecimal 0x9113FA

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 25,153 50,306 75,459 150,918 176,071 226,377 352,142 452,754 528,213 679,131 1,056,426 1,358,262 1,584,639 3,169,278 4,753,917 9,507,834

Collatz Trajectory (150 steps to reach 1)

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

9,507,834 4,753,917 14,261,752 7,130,876 3,565,438 1,782,719 5,348,158 2,674,079 8,022,238 4,011,119 12,033,358 6,016,679 18,050,038 9,025,019 27,075,058 13,537,529 40,612,588 20,306,294 10,153,147 30,459,442 15,229,721 45,689,164 22,844,582 11,422,291 34,266,874 17,133,437 51,400,312 25,700,156 12,850,078 6,425,039 19,275,118 9,637,559 28,912,678 14,456,339 43,369,018 21,684,509 65,053,528 32,526,764 16,263,382 8,131,691 24,395,074 12,197,537 36,592,612 18,296,306 9,148,153 27,444,460 13,722,230 6,861,115 20,583,346 10,291,673 30,875,020 15,437,510 7,718,755 23,156,266 11,578,133 34,734,400 17,367,200 8,683,600 4,341,800 2,170,900

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