902,142

2 × 3² × 50119

902,142 factors as 2 × 3^2 × 50119. Its 12 positive divisors give a proper-divisor sum of 1,052,538, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 50119

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,954,680

Proper Divisor Sum 1,052,538

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #902141 ← → #902179

Radix Representation

Decimal	902142
Binary	11011100001111111110 (20 bits)
Octal	0o3341776
Hexadecimal	0xDC3FE

Divisor Catalog (12)

1 2 3 6 9 18 50,119 100,238 150,357 300,714 451,071 902,142

Collatz Trajectory (170 steps to reach 1)

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

902,142 451,071 1,353,214 676,607 2,029,822 1,014,911 3,044,734 1,522,367 4,567,102 2,283,551 6,850,654 3,425,327 10,275,982 5,137,991 15,413,974 7,706,987 23,120,962 11,560,481 34,681,444 17,340,722 8,670,361 26,011,084 13,005,542 6,502,771 19,508,314 9,754,157 29,262,472 14,631,236 7,315,618 3,657,809 10,973,428 5,486,714 2,743,357 8,230,072 4,115,036 2,057,518 1,028,759 3,086,278 1,543,139 4,629,418 2,314,709 6,944,128 3,472,064 1,736,032 868,016 434,008 217,004 108,502 54,251 162,754 81,377 244,132 122,066 61,033 183,100 91,550 45,775 137,326 68,663 205,990

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