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5,115,328

26 × 257 × 311
Deficient Even Composite

5,115,328 factors as 2^6 × 257 × 311. Its 28 positive divisors give a proper-divisor sum of 5,107,664, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^6 × 257 × 311
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 10,222,992
Proper Divisor Sum 5,107,664
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5115301 ← → #5115343

Radix Representation

Decimal 5115328
Binary 10011100000110111000000 (23 bits)
Octal 0o23406700
Hexadecimal 0x4E0DC0

Divisor Catalog (28)

1 2 4 8 16 32 64 257 311 514 622 1,028 1,244 2,056 2,488 4,112 4,976 8,224 9,952 16,448 19,904 79,927 159,854 319,708 639,416 1,278,832 2,557,664 5,115,328

Collatz Trajectory (211 steps to reach 1)

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

5,115,328 2,557,664 1,278,832 639,416 319,708 159,854 79,927 239,782 119,891 359,674 179,837 539,512 269,756 134,878 67,439 202,318 101,159 303,478 151,739 455,218 227,609 682,828 341,414 170,707 512,122 256,061 768,184 384,092 192,046 96,023 288,070 144,035 432,106 216,053 648,160 324,080 162,040 81,020 40,510 20,255 60,766 30,383 91,150 45,575 136,726 68,363 205,090 102,545 307,636 153,818 76,909 230,728 115,364 57,682 28,841 86,524 43,262 21,631 64,894 32,447

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