6,032,300

2² × 5² × 179 × 337

Starting at 6,032,300, the Collatz iteration reaches 1 after 90 steps. The first transition is 3016150; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 179 × 337

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 13,202,280

Proper Divisor Sum 7,169,980

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #6032293 ← → #6032303

Radix Representation

Decimal	6032300
Binary	10111000000101110101100 (23 bits)
Octal	0o27005654
Hexadecimal	0x5C0BAC

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 179 337 358 674 716 895 1,348 1,685 1,790 3,370 3,580 4,475 6,740 8,425 8,950 16,850 17,900 33,700 60,323 120,646 241,292 301,615 603,230 1,206,460 1,508,075 3,016,150 6,032,300

Collatz Trajectory (90 steps to reach 1)

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

6,032,300 3,016,150 1,508,075 4,524,226 2,262,113 6,786,340 3,393,170 1,696,585 5,089,756 2,544,878 1,272,439 3,817,318 1,908,659 5,725,978 2,862,989 8,588,968 4,294,484 2,147,242 1,073,621 3,220,864 1,610,432 805,216 402,608 201,304 100,652 50,326 25,163 75,490 37,745 113,236 56,618 28,309 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064

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