2,202,498

2 × 3³ × 40787

2,202,498 factors as 2 × 3^3 × 40787. Its 16 positive divisors give a proper-divisor sum of 2,692,062, so this integer is abundant. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 40787

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,894,560

Proper Divisor Sum 2,692,062

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2202493 ← → #2202511

Radix Representation

Decimal	2202498
Binary	1000011001101110000010 (22 bits)
Octal	0o10315602
Hexadecimal	0x219B82

Divisor Catalog (16)

1 2 3 6 9 18 27 54 40,787 81,574 122,361 244,722 367,083 734,166 1,101,249 2,202,498

Collatz Trajectory (241 steps to reach 1)

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

2,202,498 1,101,249 3,303,748 1,651,874 825,937 2,477,812 1,238,906 619,453 1,858,360 929,180 464,590 232,295 696,886 348,443 1,045,330 522,665 1,567,996 783,998 391,999 1,175,998 587,999 1,763,998 881,999 2,645,998 1,322,999 3,968,998 1,984,499 5,953,498 2,976,749 8,930,248 4,465,124 2,232,562 1,116,281 3,348,844 1,674,422 837,211 2,511,634 1,255,817 3,767,452 1,883,726 941,863 2,825,590 1,412,795 4,238,386 2,119,193 6,357,580 3,178,790 1,589,395 4,768,186 2,384,093 7,152,280 3,576,140 1,788,070 894,035 2,682,106 1,341,053 4,023,160 2,011,580 1,005,790 502,895

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