2,198,565

3² × 5 × 48857

2,198,565 factors as 3^2 × 5 × 48857. Its 12 positive divisors give a proper-divisor sum of 1,612,359, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 48857

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,810,924

Proper Divisor Sum 1,612,359

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2198533 ← → #2198569

Radix Representation

Decimal	2198565
Binary	1000011000110000100101 (22 bits)
Octal	0o10306045
Hexadecimal	0x218C25

Divisor Catalog (12)

1 3 5 9 15 45 48,857 146,571 244,285 439,713 732,855 2,198,565

Collatz Trajectory (210 steps to reach 1)

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

2,198,565 6,595,696 3,297,848 1,648,924 824,462 412,231 1,236,694 618,347 1,855,042 927,521 2,782,564 1,391,282 695,641 2,086,924 1,043,462 521,731 1,565,194 782,597 2,347,792 1,173,896 586,948 293,474 146,737 440,212 220,106 110,053 330,160 165,080 82,540 41,270 20,635 61,906 30,953 92,860 46,430 23,215 69,646 34,823 104,470 52,235 156,706 78,353 235,060 117,530 58,765 176,296 88,148 44,074 22,037 66,112 33,056 16,528 8,264 4,132 2,066 1,033 3,100 1,550 775 2,326

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