λ
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2,198,570

2 × 5 × 112 × 23 × 79
Abundant Even Composite

2,198,570 factors as 2 × 5 × 11^2 × 23 × 79. Its 48 positive divisors give a proper-divisor sum of 2,397,910, so this integer is abundant. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11^2 × 23 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,596,480
Proper Divisor Sum 2,397,910
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2198569 ← → #2198591

Radix Representation

Decimal 2198570
Binary 1000011000110000101010 (22 bits)
Octal 0o10306052
Hexadecimal 0x218C2A

Divisor Catalog (48)

1 2 5 10 11 22 23 46 55 79 110 115 121 158 230 242 253 395 506 605 790 869 1,210 1,265 1,738 1,817 2,530 2,783 3,634 4,345 5,566 8,690 9,085 9,559 13,915 18,170 19,118 19,987 27,830 39,974 47,795 95,590 99,935 199,870 219,857 439,714 1,099,285 2,198,570

Collatz Trajectory (192 steps to reach 1)

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

2,198,570 1,099,285 3,297,856 1,648,928 824,464 412,232 206,116 103,058 51,529 154,588 77,294 38,647 115,942 57,971 173,914 86,957 260,872 130,436 65,218 32,609 97,828 48,914 24,457 73,372 36,686 18,343 55,030 27,515 82,546 41,273 123,820 61,910 30,955 92,866 46,433 139,300 69,650 34,825 104,476 52,238 26,119 78,358 39,179 117,538 58,769 176,308 88,154 44,077 132,232 66,116 33,058 16,529 49,588 24,794 12,397 37,192 18,596 9,298 4,649 13,948

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