5,326,692

2² × 3 × 7² × 9059

Starting at 5,326,692, the Collatz iteration reaches 1 after 188 steps. The first transition is 2663346; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 9059

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 14,459,760

Proper Divisor Sum 9,133,068

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5326687 ← → #5326709

Radix Representation

Decimal	5326692
Binary	10100010100011101100100 (23 bits)
Octal	0o24243544
Hexadecimal	0x514764

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 9,059 18,118 27,177 36,236 54,354 63,413 108,708 126,826 190,239 253,652 380,478 443,891 760,956 887,782 1,331,673 1,775,564 2,663,346 5,326,692

Collatz Trajectory (188 steps to reach 1)

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

5,326,692 2,663,346 1,331,673 3,995,020 1,997,510 998,755 2,996,266 1,498,133 4,494,400 2,247,200 1,123,600 561,800 280,900 140,450 70,225 210,676 105,338 52,669 158,008 79,004 39,502 19,751 59,254 29,627 88,882 44,441 133,324 66,662 33,331 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940

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