2,698,785

3³ × 5 × 19991

2,698,785 factors as 3^3 × 5 × 19991. Its 16 positive divisors give a proper-divisor sum of 2,099,295, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 19991

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,798,080

Proper Divisor Sum 2,099,295

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #2698777 ← → #2698789

Radix Representation

Decimal	2698785
Binary	1010010010111000100001 (22 bits)
Octal	0o12227041
Hexadecimal	0x292E21

Divisor Catalog (16)

1 3 5 9 15 27 45 135 19,991 59,973 99,955 179,919 299,865 539,757 899,595 2,698,785

Collatz Trajectory (138 steps to reach 1)

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

2,698,785 8,096,356 4,048,178 2,024,089 6,072,268 3,036,134 1,518,067 4,554,202 2,277,101 6,831,304 3,415,652 1,707,826 853,913 2,561,740 1,280,870 640,435 1,921,306 960,653 2,881,960 1,440,980 720,490 360,245 1,080,736 540,368 270,184 135,092 67,546 33,773 101,320 50,660 25,330 12,665 37,996 18,998 9,499 28,498 14,249 42,748 21,374 10,687 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307 273,922 136,961 410,884 205,442 102,721

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