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Atlas › Integer Profiles › Node 2,923,398

2,923,398

2 × 33 × 43 × 1259
Abundant Even Composite

2,923,398 factors as 2 × 3^3 × 43 × 1259. Its 32 positive divisors give a proper-divisor sum of 3,729,402, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 43 × 1259
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,652,800
Proper Divisor Sum 3,729,402
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2923387 ← → #2923409

Radix Representation

Decimal 2923398
Binary 1011001001101110000110 (22 bits)
Octal 0o13115606
Hexadecimal 0x2C9B86

Divisor Catalog (32)

1 2 3 6 9 18 27 43 54 86 129 258 387 774 1,161 1,259 2,322 2,518 3,777 7,554 11,331 22,662 33,993 54,137 67,986 108,274 162,411 324,822 487,233 974,466 1,461,699 2,923,398

Collatz Trajectory (213 steps to reach 1)

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

2,923,398 1,461,699 4,385,098 2,192,549 6,577,648 3,288,824 1,644,412 822,206 411,103 1,233,310 616,655 1,849,966 924,983 2,774,950 1,387,475 4,162,426 2,081,213 6,243,640 3,121,820 1,560,910 780,455 2,341,366 1,170,683 3,512,050 1,756,025 5,268,076 2,634,038 1,317,019 3,951,058 1,975,529 5,926,588 2,963,294 1,481,647 4,444,942 2,222,471 6,667,414 3,333,707 10,001,122 5,000,561 15,001,684 7,500,842 3,750,421 11,251,264 5,625,632 2,812,816 1,406,408 703,204 351,602 175,801 527,404 263,702 131,851 395,554 197,777 593,332 296,666 148,333 445,000 222,500 111,250

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