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Atlas › Integer Profiles › Node 55,300,688

55,300,688

24 × 941 × 3673
Deficient Even Composite

55,300,688 factors as 2^4 × 941 × 3673. Its 20 positive divisors give a proper-divisor sum of 51,987,460, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^4 × 941 × 3673
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 107,288,148
Proper Divisor Sum 51,987,460
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #55300673 ← → #55300691

Radix Representation

Decimal 55300688
Binary 11010010111101001001010000 (26 bits)
Octal 0o322751120
Hexadecimal 0x34BD250

Divisor Catalog (20)

1 2 4 8 16 941 1,882 3,673 3,764 7,346 7,528 14,692 15,056 29,384 58,768 3,456,293 6,912,586 13,825,172 27,650,344 55,300,688

Collatz Trajectory (225 steps to reach 1)

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

55,300,688 27,650,344 13,825,172 6,912,586 3,456,293 10,368,880 5,184,440 2,592,220 1,296,110 648,055 1,944,166 972,083 2,916,250 1,458,125 4,374,376 2,187,188 1,093,594 546,797 1,640,392 820,196 410,098 205,049 615,148 307,574 153,787 461,362 230,681 692,044 346,022 173,011 519,034 259,517 778,552 389,276 194,638 97,319 291,958 145,979 437,938 218,969 656,908 328,454 164,227 492,682 246,341 739,024 369,512 184,756 92,378 46,189 138,568 69,284 34,642 17,321 51,964 25,982 12,991 38,974 19,487 58,462

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