504,736

2⁵ × 15773

Starting at 504,736, the Collatz iteration reaches 1 after 182 steps. The first transition is 252368; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 15773

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 993,762

Proper Divisor Sum 489,026

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #504727 ← → #504767

Radix Representation

Decimal	504736
Binary	1111011001110100000 (19 bits)
Octal	0o1731640
Hexadecimal	0x7B3A0

Divisor Catalog (12)

1 2 4 8 16 32 15,773 31,546 63,092 126,184 252,368 504,736

Collatz Trajectory (182 steps to reach 1)

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

504,736 252,368 126,184 63,092 31,546 15,773 47,320 23,660 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878 127,939 383,818 191,909 575,728 287,864 143,932 71,966 35,983 107,950 53,975 161,926 80,963 242,890 121,445 364,336 182,168 91,084 45,542 22,771 68,314 34,157 102,472 51,236 25,618 12,809 38,428 19,214

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