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Atlas › Integer Profiles › Node 9,750,252

9,750,252

22 × 3 × 23 × 35327
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 35327
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,740,416
Proper Divisor Sum 13,990,164
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9750239 ← → #9750253

Radix Representation

Decimal 9750252
Binary 100101001100011011101100 (24 bits)
Octal 0o45143354
Hexadecimal 0x94C6EC

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 35,327 70,654 105,981 141,308 211,962 423,924 812,521 1,625,042 2,437,563 3,250,084 4,875,126 9,750,252

Collatz Trajectory (150 steps to reach 1)

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

9,750,252 4,875,126 2,437,563 7,312,690 3,656,345 10,969,036 5,484,518 2,742,259 8,226,778 4,113,389 12,340,168 6,170,084 3,085,042 1,542,521 4,627,564 2,313,782 1,156,891 3,470,674 1,735,337 5,206,012 2,603,006 1,301,503 3,904,510 1,952,255 5,856,766 2,928,383 8,785,150 4,392,575 13,177,726 6,588,863 19,766,590 9,883,295 29,649,886 14,824,943 44,474,830 22,237,415 66,712,246 33,356,123 100,068,370 50,034,185 150,102,556 75,051,278 37,525,639 112,576,918 56,288,459 168,865,378 84,432,689 253,298,068 126,649,034 63,324,517 189,973,552 94,986,776 47,493,388 23,746,694 11,873,347 35,620,042 17,810,021 53,430,064 26,715,032 13,357,516

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