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Atlas › Integer Profiles › Node 4,133,046

4,133,046

2 × 3 × 41 × 53 × 317
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 41 × 53 × 317
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,654,688
Proper Divisor Sum 4,521,642
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4132987 ← → #4133047

Radix Representation

Decimal 4133046
Binary 1111110001000010110110 (22 bits)
Octal 0o17610266
Hexadecimal 0x3F10B6

Divisor Catalog (32)

1 2 3 6 41 53 82 106 123 159 246 317 318 634 951 1,902 2,173 4,346 6,519 12,997 13,038 16,801 25,994 33,602 38,991 50,403 77,982 100,806 688,841 1,377,682 2,066,523 4,133,046

Collatz Trajectory (229 steps to reach 1)

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

4,133,046 2,066,523 6,199,570 3,099,785 9,299,356 4,649,678 2,324,839 6,974,518 3,487,259 10,461,778 5,230,889 15,692,668 7,846,334 3,923,167 11,769,502 5,884,751 17,654,254 8,827,127 26,481,382 13,240,691 39,722,074 19,861,037 59,583,112 29,791,556 14,895,778 7,447,889 22,343,668 11,171,834 5,585,917 16,757,752 8,378,876 4,189,438 2,094,719 6,284,158 3,142,079 9,426,238 4,713,119 14,139,358 7,069,679 21,209,038 10,604,519 31,813,558 15,906,779 47,720,338 23,860,169 71,580,508 35,790,254 17,895,127 53,685,382 26,842,691 80,528,074 40,264,037 120,792,112 60,396,056 30,198,028 15,099,014 7,549,507 22,648,522 11,324,261 33,972,784

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