504,418

2 × 252209

Starting at 504,418, the Collatz iteration reaches 1 after 182 steps. The first transition is 252209; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 252209

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 756,630

Proper Divisor Sum 252,212

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #504403 ← → #504457

Radix Representation

Decimal	504418
Binary	1111011001001100010 (19 bits)
Octal	0o1731142
Hexadecimal	0x7B262

Divisor Catalog (4)

1 2 252,209 504,418

Collatz Trajectory (182 steps to reach 1)

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

504,418 252,209 756,628 378,314 189,157 567,472 283,736 141,868 70,934 35,467 106,402 53,201 159,604 79,802 39,901 119,704 59,852 29,926 14,963 44,890 22,445 67,336 33,668 16,834 8,417 25,252 12,626 6,313 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204

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