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Atlas › Integer Profiles › Node 5,116,260

5,116,260

22 × 3 × 5 × 71 × 1201
Abundant Even Composite

5,116,260 factors as 2^2 × 3 × 5 × 71 × 1201. Its 48 positive divisors give a proper-divisor sum of 9,423,132, so this integer is abundant. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 71 × 1201
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,539,392
Proper Divisor Sum 9,423,132
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5116229 ← → #5116291

Radix Representation

Decimal 5116260
Binary 10011100001000101100100 (23 bits)
Octal 0o23410544
Hexadecimal 0x4E1164

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1,065 1,201 1,420 2,130 2,402 3,603 4,260 4,804 6,005 7,206 12,010 14,412 18,015 24,020 36,030 72,060 85,271 170,542 255,813 341,084 426,355 511,626 852,710 1,023,252 1,279,065 1,705,420 2,558,130 5,116,260

Collatz Trajectory (206 steps to reach 1)

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

5,116,260 2,558,130 1,279,065 3,837,196 1,918,598 959,299 2,877,898 1,438,949 4,316,848 2,158,424 1,079,212 539,606 269,803 809,410 404,705 1,214,116 607,058 303,529 910,588 455,294 227,647 682,942 341,471 1,024,414 512,207 1,536,622 768,311 2,304,934 1,152,467 3,457,402 1,728,701 5,186,104 2,593,052 1,296,526 648,263 1,944,790 972,395 2,917,186 1,458,593 4,375,780 2,187,890 1,093,945 3,281,836 1,640,918 820,459 2,461,378 1,230,689 3,692,068 1,846,034 923,017 2,769,052 1,384,526 692,263 2,076,790 1,038,395 3,115,186 1,557,593 4,672,780 2,336,390 1,168,195

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