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Atlas › Integer Profiles › Node 54,085,168

54,085,168

24 × 197 × 17159
Deficient Even Composite

54,085,168 factors as 2^4 × 197 × 17159. Its 20 positive divisors give a proper-divisor sum of 51,242,912, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^4 × 197 × 17159
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 105,328,080
Proper Divisor Sum 51,242,912
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #54085139 ← → #54085169

Radix Representation

Decimal 54085168
Binary 11001110010100011000110000 (26 bits)
Octal 0o316243060
Hexadecimal 0x3394630

Divisor Catalog (20)

1 2 4 8 16 197 394 788 1,576 3,152 17,159 34,318 68,636 137,272 274,544 3,380,323 6,760,646 13,521,292 27,042,584 54,085,168

Collatz Trajectory (137 steps to reach 1)

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

54,085,168 27,042,584 13,521,292 6,760,646 3,380,323 10,140,970 5,070,485 15,211,456 7,605,728 3,802,864 1,901,432 950,716 475,358 237,679 713,038 356,519 1,069,558 534,779 1,604,338 802,169 2,406,508 1,203,254 601,627 1,804,882 902,441 2,707,324 1,353,662 676,831 2,030,494 1,015,247 3,045,742 1,522,871 4,568,614 2,284,307 6,852,922 3,426,461 10,279,384 5,139,692 2,569,846 1,284,923 3,854,770 1,927,385 5,782,156 2,891,078 1,445,539 4,336,618 2,168,309 6,504,928 3,252,464 1,626,232 813,116 406,558 203,279 609,838 304,919 914,758 457,379 1,372,138 686,069 2,058,208

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