λ
Ratio Atlas

27,403,241

27403241
Deficient Odd Prime

27,403,241 factors as 27403241. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 27403241
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 27,403,242
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #27403237 ← → #27403297

Radix Representation

Decimal 27403241
Binary 1101000100010001111101001 (25 bits)
Octal 0o150421751
Hexadecimal 0x1A223E9

Divisor Catalog (2)

Collatz Trajectory (255 steps to reach 1)

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

27,403,241 82,209,724 41,104,862 20,552,431 61,657,294 30,828,647 92,485,942 46,242,971 138,728,914 69,364,457 208,093,372 104,046,686 52,023,343 156,070,030 78,035,015 234,105,046 117,052,523 351,157,570 175,578,785 526,736,356 263,368,178 131,684,089 395,052,268 197,526,134 98,763,067 296,289,202 148,144,601 444,433,804 222,216,902 111,108,451 333,325,354 166,662,677 499,988,032 249,994,016 124,997,008 62,498,504 31,249,252 15,624,626 7,812,313 23,436,940 11,718,470 5,859,235 17,577,706 8,788,853 26,366,560 13,183,280 6,591,640 3,295,820 1,647,910 823,955 2,471,866 1,235,933 3,707,800 1,853,900 926,950 463,475 1,390,426 695,213 2,085,640 1,042,820

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