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Atlas › Integer Profiles › Node 55,423,920

55,423,920

24 × 3 × 5 × 230933
Abundant Even Composite

55,423,920 factors as 2^4 × 3 × 5 × 230933. Its 40 positive divisors give a proper-divisor sum of 116,390,976, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 230933
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 171,814,896
Proper Divisor Sum 116,390,976
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #55423919 ← → #55423933

Radix Representation

Decimal 55423920
Binary 11010011011011001110110000 (26 bits)
Octal 0o323331660
Hexadecimal 0x34DB3B0

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 230,933 461,866 692,799 923,732 1,154,665 1,385,598 1,847,464 2,309,330 2,771,196 3,463,995 3,694,928 4,618,660 5,542,392 6,927,990 9,237,320 11,084,784 13,855,980 18,474,640 27,711,960 55,423,920

Collatz Trajectory (186 steps to reach 1)

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

55,423,920 27,711,960 13,855,980 6,927,990 3,463,995 10,391,986 5,195,993 15,587,980 7,793,990 3,896,995 11,690,986 5,845,493 17,536,480 8,768,240 4,384,120 2,192,060 1,096,030 548,015 1,644,046 822,023 2,466,070 1,233,035 3,699,106 1,849,553 5,548,660 2,774,330 1,387,165 4,161,496 2,080,748 1,040,374 520,187 1,560,562 780,281 2,340,844 1,170,422 585,211 1,755,634 877,817 2,633,452 1,316,726 658,363 1,975,090 987,545 2,962,636 1,481,318 740,659 2,221,978 1,110,989 3,332,968 1,666,484 833,242 416,621 1,249,864 624,932 312,466 156,233 468,700 234,350 117,175 351,526

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