478,341

3² × 53149

Starting at 478,341, the Collatz iteration reaches 1 after 120 steps. The first transition is 1435024; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 53149

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 690,950

Proper Divisor Sum 212,609

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #478339 ← → #478343

Radix Representation

Decimal	478341
Binary	1110100110010000101 (19 bits)
Octal	0o1646205
Hexadecimal	0x74C85

Divisor Catalog (6)

1 3 9 53,149 159,447 478,341

Collatz Trajectory (120 steps to reach 1)

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

478,341 1,435,024 717,512 358,756 179,378 89,689 269,068 134,534 67,267 201,802 100,901 302,704 151,352 75,676 37,838 18,919 56,758 28,379 85,138 42,569 127,708 63,854 31,927 95,782 47,891 143,674 71,837 215,512 107,756 53,878 26,939 80,818 40,409 121,228 60,614 30,307 90,922 45,461 136,384 68,192 34,096 17,048 8,524 4,262 2,131 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037

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