λ
Ratio Atlas

73,028,071

73028071
Deficient Odd Prime

73,028,071 factors as 73028071. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 73028071
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 73,028,072
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #73028063 ← → #73028101

Radix Representation

Decimal 73028071
Binary 100010110100101000111100111 (27 bits)
Octal 0o426450747
Hexadecimal 0x45A51E7

Divisor Catalog (2)

Collatz Trajectory (197 steps to reach 1)

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

73,028,071 219,084,214 109,542,107 328,626,322 164,313,161 492,939,484 246,469,742 123,234,871 369,704,614 184,852,307 554,556,922 277,278,461 831,835,384 415,917,692 207,958,846 103,979,423 311,938,270 155,969,135 467,907,406 233,953,703 701,861,110 350,930,555 1,052,791,666 526,395,833 1,579,187,500 789,593,750 394,796,875 1,184,390,626 592,195,313 1,776,585,940 888,292,970 444,146,485 1,332,439,456 666,219,728 333,109,864 166,554,932 83,277,466 41,638,733 124,916,200 62,458,100 31,229,050 15,614,525 46,843,576 23,421,788 11,710,894 5,855,447 17,566,342 8,783,171 26,349,514 13,174,757 39,524,272 19,762,136 9,881,068 4,940,534 2,470,267 7,410,802 3,705,401 11,116,204 5,558,102 2,779,051

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