735,277

257 × 2861

Starting at 735,277, the Collatz iteration reaches 1 after 87 steps. The first transition is 2205832; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 257 × 2861

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 738,396

Proper Divisor Sum 3,119

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #735271 ← → #735283

Radix Representation

Decimal	735277
Binary	10110011100000101101 (20 bits)
Octal	0o2634055
Hexadecimal	0xB382D

Divisor Catalog (4)

1 257 2,861 735,277

Collatz Trajectory (87 steps to reach 1)

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

735,277 2,205,832 1,102,916 551,458 275,729 827,188 413,594 206,797 620,392 310,196 155,098 77,549 232,648 116,324 58,162 29,081 87,244 43,622 21,811 65,434 32,717 98,152 49,076 24,538 12,269 36,808 18,404 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130

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