734,157

3³ × 27191

Starting at 734,157, the Collatz iteration reaches 1 after 87 steps. The first transition is 2202472; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 27191

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,087,680

Proper Divisor Sum 353,523

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #734143 ← → #734159

Radix Representation

Decimal	734157
Binary	10110011001111001101 (20 bits)
Octal	0o2631715
Hexadecimal	0xB33CD

Divisor Catalog (8)

1 3 9 27 27,191 81,573 244,719 734,157

Collatz Trajectory (87 steps to reach 1)

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

734,157 2,202,472 1,101,236 550,618 275,309 825,928 412,964 206,482 103,241 309,724 154,862 77,431 232,294 116,147 348,442 174,221 522,664 261,332 130,666 65,333 196,000 98,000 49,000 24,500 12,250 6,125 18,376 9,188 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130

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