λ
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Atlas › Integer Profiles › Node 55,410,524

55,410,524

22 × 13 × 179 × 5953
Deficient Even Composite

55,410,524 factors as 2^2 × 13 × 179 × 5953. Its 24 positive divisors give a proper-divisor sum of 49,618,036, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 179 × 5953
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 105,028,560
Proper Divisor Sum 49,618,036
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #55410491 ← → #55410527

Radix Representation

Decimal 55410524
Binary 11010011010111111101011100 (26 bits)
Octal 0o323277534
Hexadecimal 0x34D7F5C

Divisor Catalog (24)

1 2 4 13 26 52 179 358 716 2,327 4,654 5,953 9,308 11,906 23,812 77,389 154,778 309,556 1,065,587 2,131,174 4,262,348 13,852,631 27,705,262 55,410,524

Collatz Trajectory (212 steps to reach 1)

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

55,410,524 27,705,262 13,852,631 41,557,894 20,778,947 62,336,842 31,168,421 93,505,264 46,752,632 23,376,316 11,688,158 5,844,079 17,532,238 8,766,119 26,298,358 13,149,179 39,447,538 19,723,769 59,171,308 29,585,654 14,792,827 44,378,482 22,189,241 66,567,724 33,283,862 16,641,931 49,925,794 24,962,897 74,888,692 37,444,346 18,722,173 56,166,520 28,083,260 14,041,630 7,020,815 21,062,446 10,531,223 31,593,670 15,796,835 47,390,506 23,695,253 71,085,760 35,542,880 17,771,440 8,885,720 4,442,860 2,221,430 1,110,715 3,332,146 1,666,073 4,998,220 2,499,110 1,249,555 3,748,666 1,874,333 5,623,000 2,811,500 1,405,750 702,875 2,108,626

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