54,642,428

2² × 97 × 140831

54,642,428 factors as 2^2 × 97 × 140831. Its 12 positive divisors give a proper-divisor sum of 41,968,324, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2^2 × 97 × 140831

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 96,610,752

Proper Divisor Sum 41,968,324

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #54642391 ← → #54642431

Radix Representation

Decimal	54642428
Binary	11010000011100011011111100 (26 bits)
Octal	0o320343374
Hexadecimal	0x341C6FC

Divisor Catalog (12)

1 2 4 97 194 388 140,831 281,662 563,324 13,660,607 27,321,214 54,642,428

Collatz Trajectory (243 steps to reach 1)

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

54,642,428 27,321,214 13,660,607 40,981,822 20,490,911 61,472,734 30,736,367 92,209,102 46,104,551 138,313,654 69,156,827 207,470,482 103,735,241 311,205,724 155,602,862 77,801,431 233,404,294 116,702,147 350,106,442 175,053,221 525,159,664 262,579,832 131,289,916 65,644,958 32,822,479 98,467,438 49,233,719 147,701,158 73,850,579 221,551,738 110,775,869 332,327,608 166,163,804 83,081,902 41,540,951 124,622,854 62,311,427 186,934,282 93,467,141 280,401,424 140,200,712 70,100,356 35,050,178 17,525,089 52,575,268 26,287,634 13,143,817 39,431,452 19,715,726 9,857,863 29,573,590 14,786,795 44,360,386 22,180,193 66,540,580 33,270,290 16,635,145 49,905,436 24,952,718 12,476,359

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