73,072,115

5 × 31 × 89 × 5297

73,072,115 factors as 5 × 31 × 89 × 5297. Its 16 positive divisors give a proper-divisor sum of 18,477,325, so this integer is deficient. The Collatz stopping time is 290 steps.

Prime Factor Structure

Factorization String 5 × 31 × 89 × 5297

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 91,549,440

Proper Divisor Sum 18,477,325

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #73072079 ← → #73072123

Radix Representation

Decimal	73072115
Binary	100010110101111110111110011 (27 bits)
Octal	0o426576763
Hexadecimal	0x45AFDF3

Divisor Catalog (16)

1 5 31 89 155 445 2,759 5,297 13,795 26,485 164,207 471,433 821,035 2,357,165 14,614,423 73,072,115

Collatz Trajectory (290 steps to reach 1)

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

73,072,115 219,216,346 109,608,173 328,824,520 164,412,260 82,206,130 41,103,065 123,309,196 61,654,598 30,827,299 92,481,898 46,240,949 138,722,848 69,361,424 34,680,712 17,340,356 8,670,178 4,335,089 13,005,268 6,502,634 3,251,317 9,753,952 4,876,976 2,438,488 1,219,244 609,622 304,811 914,434 457,217 1,371,652 685,826 342,913 1,028,740 514,370 257,185 771,556 385,778 192,889 578,668 289,334 144,667 434,002 217,001 651,004 325,502 162,751 488,254 244,127 732,382 366,191 1,098,574 549,287 1,647,862 823,931 2,471,794 1,235,897 3,707,692 1,853,846 926,923 2,780,770

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