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Atlas › Integer Profiles › Node 55,388,788

55,388,788

22 × 7 × 13 × 17 × 8951
Abundant Even Composite

55,388,788 factors as 2^2 × 7 × 13 × 17 × 8951. Its 48 positive divisors give a proper-divisor sum of 70,941,836, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 17 × 8951
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 126,330,624
Proper Divisor Sum 70,941,836
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #55388783 ← → #55388791

Radix Representation

Decimal 55388788
Binary 11010011010010101001110100 (26 bits)
Octal 0o323225164
Hexadecimal 0x34D2A74

Divisor Catalog (48)

1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 884 1,547 3,094 6,188 8,951 17,902 35,804 62,657 116,363 125,314 152,167 232,726 250,628 304,334 465,452 608,668 814,541 1,065,169 1,629,082 1,978,171 2,130,338 3,258,164 3,956,342 4,260,676 7,912,684 13,847,197 27,694,394 55,388,788

Collatz Trajectory (212 steps to reach 1)

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

55,388,788 27,694,394 13,847,197 41,541,592 20,770,796 10,385,398 5,192,699 15,578,098 7,789,049 23,367,148 11,683,574 5,841,787 17,525,362 8,762,681 26,288,044 13,144,022 6,572,011 19,716,034 9,858,017 29,574,052 14,787,026 7,393,513 22,180,540 11,090,270 5,545,135 16,635,406 8,317,703 24,953,110 12,476,555 37,429,666 18,714,833 56,144,500 28,072,250 14,036,125 42,108,376 21,054,188 10,527,094 5,263,547 15,790,642 7,895,321 23,685,964 11,842,982 5,921,491 17,764,474 8,882,237 26,646,712 13,323,356 6,661,678 3,330,839 9,992,518 4,996,259 14,988,778 7,494,389 22,483,168 11,241,584 5,620,792 2,810,396 1,405,198 702,599 2,107,798

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