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2,728,222

2 × 73 × 41 × 97
Deficient Even Composite

2,728,222 factors as 2 × 7^3 × 41 × 97. Its 32 positive divisors give a proper-divisor sum of 2,210,978, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2 × 7^3 × 41 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,939,200
Proper Divisor Sum 2,210,978
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2728207 ← → #2728241

Radix Representation

Decimal 2728222
Binary 1010011010000100011110 (22 bits)
Octal 0o12320436
Hexadecimal 0x29A11E

Divisor Catalog (32)

1 2 7 14 41 49 82 97 98 194 287 343 574 679 686 1,358 2,009 3,977 4,018 4,753 7,954 9,506 14,063 27,839 28,126 33,271 55,678 66,542 194,873 389,746 1,364,111 2,728,222

Collatz Trajectory (169 steps to reach 1)

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

2,728,222 1,364,111 4,092,334 2,046,167 6,138,502 3,069,251 9,207,754 4,603,877 13,811,632 6,905,816 3,452,908 1,726,454 863,227 2,589,682 1,294,841 3,884,524 1,942,262 971,131 2,913,394 1,456,697 4,370,092 2,185,046 1,092,523 3,277,570 1,638,785 4,916,356 2,458,178 1,229,089 3,687,268 1,843,634 921,817 2,765,452 1,382,726 691,363 2,074,090 1,037,045 3,111,136 1,555,568 777,784 388,892 194,446 97,223 291,670 145,835 437,506 218,753 656,260 328,130 164,065 492,196 246,098 123,049 369,148 184,574 92,287 276,862 138,431 415,294 207,647 622,942

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