5,292,588

2² × 3 × 7² × 9001

5,292,588 has digital root 3. The neighboring primes are 5292577 and 5292607; its proper-divisor sum differs from the starting integer by 3,782,016.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 9001

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 14,367,192

Proper Divisor Sum 9,074,604

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5292577 ← → #5292607

Radix Representation

Decimal	5292588
Binary	10100001100001000101100 (23 bits)
Octal	0o24141054
Hexadecimal	0x50C22C

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 9,001 18,002 27,003 36,004 54,006 63,007 108,012 126,014 189,021 252,028 378,042 441,049 756,084 882,098 1,323,147 1,764,196 2,646,294 5,292,588

Collatz Trajectory (170 steps to reach 1)

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

5,292,588 2,646,294 1,323,147 3,969,442 1,984,721 5,954,164 2,977,082 1,488,541 4,465,624 2,232,812 1,116,406 558,203 1,674,610 837,305 2,511,916 1,255,958 627,979 1,883,938 941,969 2,825,908 1,412,954 706,477 2,119,432 1,059,716 529,858 264,929 794,788 397,394 198,697 596,092 298,046 149,023 447,070 223,535 670,606 335,303 1,005,910 502,955 1,508,866 754,433 2,263,300 1,131,650 565,825 1,697,476 848,738 424,369 1,273,108 636,554 318,277 954,832 477,416 238,708 119,354 59,677 179,032 89,516 44,758 22,379 67,138 33,569

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