477,034

2 × 137 × 1741

Starting at 477,034, the Collatz iteration reaches 1 after 76 steps. The first transition is 238517; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 137 × 1741

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 721,188

Proper Divisor Sum 244,154

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #477031 ← → #477047

Radix Representation

Decimal	477034
Binary	1110100011101101010 (19 bits)
Octal	0o1643552
Hexadecimal	0x7476A

Divisor Catalog (8)

1 2 137 274 1,741 3,482 238,517 477,034

Collatz Trajectory (76 steps to reach 1)

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

477,034 238,517 715,552 357,776 178,888 89,444 44,722 22,361 67,084 33,542 16,771 50,314 25,157 75,472 37,736 18,868 9,434 4,717 14,152 7,076 3,538 1,769 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 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88

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