λ
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Atlas › Integer Profiles › Node 55,201,614

55,201,614

2 × 3 × 13 × 103 × 6871
Abundant Even Composite

55,201,614 factors as 2 × 3 × 13 × 103 × 6871. Its 32 positive divisors give a proper-divisor sum of 64,865,970, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 103 × 6871
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 120,067,584
Proper Divisor Sum 64,865,970
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #55201613 ← → #55201681

Radix Representation

Decimal 55201614
Binary 11010010100100111101001110 (26 bits)
Octal 0o322447516
Hexadecimal 0x34A4F4E

Divisor Catalog (32)

1 2 3 6 13 26 39 78 103 206 309 618 1,339 2,678 4,017 6,871 8,034 13,742 20,613 41,226 89,323 178,646 267,969 535,938 707,713 1,415,426 2,123,139 4,246,278 9,200,269 18,400,538 27,600,807 55,201,614

Collatz Trajectory (212 steps to reach 1)

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

55,201,614 27,600,807 82,802,422 41,401,211 124,203,634 62,101,817 186,305,452 93,152,726 46,576,363 139,729,090 69,864,545 209,593,636 104,796,818 52,398,409 157,195,228 78,597,614 39,298,807 117,896,422 58,948,211 176,844,634 88,422,317 265,266,952 132,633,476 66,316,738 33,158,369 99,475,108 49,737,554 24,868,777 74,606,332 37,303,166 18,651,583 55,954,750 27,977,375 83,932,126 41,966,063 125,898,190 62,949,095 188,847,286 94,423,643 283,270,930 141,635,465 424,906,396 212,453,198 106,226,599 318,679,798 159,339,899 478,019,698 239,009,849 717,029,548 358,514,774 179,257,387 537,772,162 268,886,081 806,658,244 403,329,122 201,664,561 604,993,684 302,496,842 151,248,421 453,745,264

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