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Atlas › Integer Profiles › Node 51,622,362

51,622,362

2 × 32 × 11 × 41 × 6359
Abundant Even Composite

51,622,362 factors as 2 × 3^2 × 11 × 41 × 6359. Its 48 positive divisors give a proper-divisor sum of 73,389,798, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 41 × 6359
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 125,012,160
Proper Divisor Sum 73,389,798
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #51622343 ← → #51622369

Radix Representation

Decimal 51622362
Binary 11000100111011000111011010 (26 bits)
Octal 0o304730732
Hexadecimal 0x313B1DA

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1,353 2,706 4,059 6,359 8,118 12,718 19,077 38,154 57,231 69,949 114,462 139,898 209,847 260,719 419,694 521,438 629,541 782,157 1,259,082 1,564,314 2,346,471 2,867,909 4,692,942 5,735,818 8,603,727 17,207,454 25,811,181 51,622,362

Collatz Trajectory (199 steps to reach 1)

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

51,622,362 25,811,181 77,433,544 38,716,772 19,358,386 9,679,193 29,037,580 14,518,790 7,259,395 21,778,186 10,889,093 32,667,280 16,333,640 8,166,820 4,083,410 2,041,705 6,125,116 3,062,558 1,531,279 4,593,838 2,296,919 6,890,758 3,445,379 10,336,138 5,168,069 15,504,208 7,752,104 3,876,052 1,938,026 969,013 2,907,040 1,453,520 726,760 363,380 181,690 90,845 272,536 136,268 68,134 34,067 102,202 51,101 153,304 76,652 38,326 19,163 57,490 28,745 86,236 43,118 21,559 64,678 32,339 97,018 48,509 145,528 72,764 36,382 18,191 54,574

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