82,802,415

3 × 5 × 23 × 240007

82,802,415 factors as 3 × 5 × 23 × 240007. Its 16 positive divisors give a proper-divisor sum of 55,442,193, so this integer is deficient. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 3 × 5 × 23 × 240007

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 138,244,608

Proper Divisor Sum 55,442,193

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #82802407 ← → #82802417

Radix Representation

Decimal	82802415
Binary	100111011110111011011101111 (27 bits)
Octal	0o473673357
Hexadecimal	0x4EF76EF

Divisor Catalog (16)

1 3 5 15 23 69 115 345 240,007 720,021 1,200,035 3,600,105 5,520,161 16,560,483 27,600,805 82,802,415

Collatz Trajectory (223 steps to reach 1)

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

82,802,415 248,407,246 124,203,623 372,610,870 186,305,435 558,916,306 279,458,153 838,374,460 419,187,230 209,593,615 628,780,846 314,390,423 943,171,270 471,585,635 1,414,756,906 707,378,453 2,122,135,360 1,061,067,680 530,533,840 265,266,920 132,633,460 66,316,730 33,158,365 99,475,096 49,737,548 24,868,774 12,434,387 37,303,162 18,651,581 55,954,744 27,977,372 13,988,686 6,994,343 20,983,030 10,491,515 31,474,546 15,737,273 47,211,820 23,605,910 11,802,955 35,408,866 17,704,433 53,113,300 26,556,650 13,278,325 39,834,976 19,917,488 9,958,744 4,979,372 2,489,686 1,244,843 3,734,530 1,867,265 5,601,796 2,800,898 1,400,449 4,201,348 2,100,674 1,050,337 3,151,012

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