356,600

2³ × 5² × 1783

Starting at 356,600, the Collatz iteration reaches 1 after 122 steps. The first transition is 178300; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 1783

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 829,560

Proper Divisor Sum 472,960

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #356591 ← → #356621

Radix Representation

Decimal	356600
Binary	1010111000011111000 (19 bits)
Octal	0o1270370
Hexadecimal	0x570F8

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 1,783 3,566 7,132 8,915 14,264 17,830 35,660 44,575 71,320 89,150 178,300 356,600

Collatz Trajectory (122 steps to reach 1)

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

356,600 178,300 89,150 44,575 133,726 66,863 200,590 100,295 300,886 150,443 451,330 225,665 676,996 338,498 169,249 507,748 253,874 126,937 380,812 190,406 95,203 285,610 142,805 428,416 214,208 107,104 53,552 26,776 13,388 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588

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