5,293,332

2² × 3² × 11 × 13367

Starting at 5,293,332, the Collatz iteration reaches 1 after 188 steps. The first transition is 2646666; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 13367

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 14,597,856

Proper Divisor Sum 9,304,524

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5293313 ← → #5293333

Radix Representation

Decimal	5293332
Binary	10100001100010100010100 (23 bits)
Octal	0o24142424
Hexadecimal	0x50C514

Divisor Catalog (36)

1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 13,367 26,734 40,101 53,468 80,202 120,303 147,037 160,404 240,606 294,074 441,111 481,212 588,148 882,222 1,323,333 1,764,444 2,646,666 5,293,332

Collatz Trajectory (188 steps to reach 1)

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

5,293,332 2,646,666 1,323,333 3,970,000 1,985,000 992,500 496,250 248,125 744,376 372,188 186,094 93,047 279,142 139,571 418,714 209,357 628,072 314,036 157,018 78,509 235,528 117,764 58,882 29,441 88,324 44,162 22,081 66,244 33,122 16,561 49,684 24,842 12,421 37,264 18,632 9,316 4,658 2,329 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935

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