5,331,123

3³ × 7 × 67 × 421

5,331,123 factors as 3^3 × 7 × 67 × 421. Its 32 positive divisors give a proper-divisor sum of 3,851,597, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 67 × 421

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,182,720

Proper Divisor Sum 3,851,597

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #5331089 ← → #5331127

Radix Representation

Decimal	5331123
Binary	10100010101100010110011 (23 bits)
Octal	0o24254263
Hexadecimal	0x5158B3

Divisor Catalog (32)

Collatz Trajectory (144 steps to reach 1)

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

5,331,123 15,993,370 7,996,685 23,990,056 11,995,028 5,997,514 2,998,757 8,996,272 4,498,136 2,249,068 1,124,534 562,267 1,686,802 843,401 2,530,204 1,265,102 632,551 1,897,654 948,827 2,846,482 1,423,241 4,269,724 2,134,862 1,067,431 3,202,294 1,601,147 4,803,442 2,401,721 7,205,164 3,602,582 1,801,291 5,403,874 2,701,937 8,105,812 4,052,906 2,026,453 6,079,360 3,039,680 1,519,840 759,920 379,960 189,980 94,990 47,495 142,486 71,243 213,730 106,865 320,596 160,298 80,149 240,448 120,224 60,112 30,056 15,028 7,514 3,757 11,272 5,636

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