2,197,458

2 × 3² × 122081

2,197,458 factors as 2 × 3^2 × 122081. Its 12 positive divisors give a proper-divisor sum of 2,563,740, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 122081

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,761,198

Proper Divisor Sum 2,563,740

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2197453 ← → #2197463

Radix Representation

Decimal	2197458
Binary	1000011000011111010010 (22 bits)
Octal	0o10303722
Hexadecimal	0x2187D2

Divisor Catalog (12)

1 2 3 6 9 18 122,081 244,162 366,243 732,486 1,098,729 2,197,458

Collatz Trajectory (210 steps to reach 1)

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

2,197,458 1,098,729 3,296,188 1,648,094 824,047 2,472,142 1,236,071 3,708,214 1,854,107 5,562,322 2,781,161 8,343,484 4,171,742 2,085,871 6,257,614 3,128,807 9,386,422 4,693,211 14,079,634 7,039,817 21,119,452 10,559,726 5,279,863 15,839,590 7,919,795 23,759,386 11,879,693 35,639,080 17,819,540 8,909,770 4,454,885 13,364,656 6,682,328 3,341,164 1,670,582 835,291 2,505,874 1,252,937 3,758,812 1,879,406 939,703 2,819,110 1,409,555 4,228,666 2,114,333 6,343,000 3,171,500 1,585,750 792,875 2,378,626 1,189,313 3,567,940 1,783,970 891,985 2,675,956 1,337,978 668,989 2,006,968 1,003,484 501,742

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