704,328

2³ × 3 × 29347

Starting at 704,328, the Collatz iteration reaches 1 after 79 steps. The first transition is 352164; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 29347

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,760,880

Proper Divisor Sum 1,056,552

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #704321 ← → #704357

Radix Representation

Decimal	704328
Binary	10101011111101001000 (20 bits)
Octal	0o2537510
Hexadecimal	0xABF48

Divisor Catalog (16)

1 2 3 4 6 8 12 24 29,347 58,694 88,041 117,388 176,082 234,776 352,164 704,328

Collatz Trajectory (79 steps to reach 1)

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

704,328 352,164 176,082 88,041 264,124 132,062 66,031 198,094 99,047 297,142 148,571 445,714 222,857 668,572 334,286 167,143 501,430 250,715 752,146 376,073 1,128,220 564,110 282,055 846,166 423,083 1,269,250 634,625 1,903,876 951,938 475,969 1,427,908 713,954 356,977 1,070,932 535,466 267,733 803,200 401,600 200,800 100,400 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746

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