5,288,229

3² × 23 × 59 × 433

5,288,229 factors as 3^2 × 23 × 59 × 433. Its 24 positive divisors give a proper-divisor sum of 2,836,251, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 3^2 × 23 × 59 × 433

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,124,480

Proper Divisor Sum 2,836,251

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5288219 ← → #5288233

Radix Representation

Decimal	5288229
Binary	10100001011000100100101 (23 bits)
Octal	0o24130445
Hexadecimal	0x50B125

Divisor Catalog (24)

1 3 9 23 59 69 177 207 433 531 1,299 1,357 3,897 4,071 9,959 12,213 25,547 29,877 76,641 89,631 229,923 587,581 1,762,743 5,288,229

Collatz Trajectory (144 steps to reach 1)

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

5,288,229 15,864,688 7,932,344 3,966,172 1,983,086 991,543 2,974,630 1,487,315 4,461,946 2,230,973 6,692,920 3,346,460 1,673,230 836,615 2,509,846 1,254,923 3,764,770 1,882,385 5,647,156 2,823,578 1,411,789 4,235,368 2,117,684 1,058,842 529,421 1,588,264 794,132 397,066 198,533 595,600 297,800 148,900 74,450 37,225 111,676 55,838 27,919 83,758 41,879 125,638 62,819 188,458 94,229 282,688 141,344 70,672 35,336 17,668 8,834 4,417 13,252 6,626 3,313 9,940 4,970 2,485 7,456 3,728 1,864 932

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