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Atlas › Integer Profiles › Node 55,213,634

55,213,634

2 × 7 × 41 × 43 × 2237
Deficient Even Composite

55,213,634 factors as 2 × 7 × 41 × 43 × 2237. Its 32 positive divisors give a proper-divisor sum of 44,046,142, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2 × 7 × 41 × 43 × 2237
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 99,259,776
Proper Divisor Sum 44,046,142
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #55213621 ← → #55213667

Radix Representation

Decimal 55213634
Binary 11010010100111111001000010 (26 bits)
Octal 0o322477102
Hexadecimal 0x34A7E42

Divisor Catalog (32)

1 2 7 14 41 43 82 86 287 301 574 602 1,763 2,237 3,526 4,474 12,341 15,659 24,682 31,318 91,717 96,191 183,434 192,382 642,019 673,337 1,284,038 1,346,674 3,943,831 7,887,662 27,606,817 55,213,634

Collatz Trajectory (150 steps to reach 1)

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

55,213,634 27,606,817 82,820,452 41,410,226 20,705,113 62,115,340 31,057,670 15,528,835 46,586,506 23,293,253 69,879,760 34,939,880 17,469,940 8,734,970 4,367,485 13,102,456 6,551,228 3,275,614 1,637,807 4,913,422 2,456,711 7,370,134 3,685,067 11,055,202 5,527,601 16,582,804 8,291,402 4,145,701 12,437,104 6,218,552 3,109,276 1,554,638 777,319 2,331,958 1,165,979 3,497,938 1,748,969 5,246,908 2,623,454 1,311,727 3,935,182 1,967,591 5,902,774 2,951,387 8,854,162 4,427,081 13,281,244 6,640,622 3,320,311 9,960,934 4,980,467 14,941,402 7,470,701 22,412,104 11,206,052 5,603,026 2,801,513 8,404,540 4,202,270 2,101,135

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