λ
Ratio Atlas

2,126,373

3 × 23 × 30817
Deficient Odd Composite

2,126,373 factors as 3 × 23 × 30817. Its 8 positive divisors give a proper-divisor sum of 832,155, so this integer is deficient. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 3 × 23 × 30817
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,958,528
Proper Divisor Sum 832,155
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2126363 ← → #2126381

Radix Representation

Decimal 2126373
Binary 1000000111001000100101 (22 bits)
Octal 0o10071045
Hexadecimal 0x207225

Divisor Catalog (8)

1 3 23 69 30,817 92,451 708,791 2,126,373

Collatz Trajectory (272 steps to reach 1)

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

2,126,373 6,379,120 3,189,560 1,594,780 797,390 398,695 1,196,086 598,043 1,794,130 897,065 2,691,196 1,345,598 672,799 2,018,398 1,009,199 3,027,598 1,513,799 4,541,398 2,270,699 6,812,098 3,406,049 10,218,148 5,109,074 2,554,537 7,663,612 3,831,806 1,915,903 5,747,710 2,873,855 8,621,566 4,310,783 12,932,350 6,466,175 19,398,526 9,699,263 29,097,790 14,548,895 43,646,686 21,823,343 65,470,030 32,735,015 98,205,046 49,102,523 147,307,570 73,653,785 220,961,356 110,480,678 55,240,339 165,721,018 82,860,509 248,581,528 124,290,764 62,145,382 31,072,691 93,218,074 46,609,037 139,827,112 69,913,556 34,956,778 17,478,389

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