2,327,140

2² × 5 × 23 × 5059

2,327,140 factors as 2^2 × 5 × 23 × 5059. Its 24 positive divisors give a proper-divisor sum of 2,773,340, so this integer is abundant. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 5059

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,100,480

Proper Divisor Sum 2,773,340

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #2327131 ← → #2327153

Radix Representation

Decimal	2327140
Binary	1000111000001001100100 (22 bits)
Octal	0o10701144
Hexadecimal	0x238264

Divisor Catalog (24)

Collatz Trajectory (192 steps to reach 1)

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

2,327,140 1,163,570 581,785 1,745,356 872,678 436,339 1,309,018 654,509 1,963,528 981,764 490,882 245,441 736,324 368,162 184,081 552,244 276,122 138,061 414,184 207,092 103,546 51,773 155,320 77,660 38,830 19,415 58,246 29,123 87,370 43,685 131,056 65,528 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782 472,391 1,417,174 708,587 2,125,762 1,062,881 3,188,644

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