735,267

3 × 13 × 17 × 1109

Starting at 735,267, the Collatz iteration reaches 1 after 87 steps. The first transition is 2205802; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 1109

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,118,880

Proper Divisor Sum 383,613

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #735263 ← → #735271

Radix Representation

Decimal	735267
Binary	10110011100000100011 (20 bits)
Octal	0o2634043
Hexadecimal	0xB3823

Divisor Catalog (16)

1 3 13 17 39 51 221 663 1,109 3,327 14,417 18,853 43,251 56,559 245,089 735,267

Collatz Trajectory (87 steps to reach 1)

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

735,267 2,205,802 1,102,901 3,308,704 1,654,352 827,176 413,588 206,794 103,397 310,192 155,096 77,548 38,774 19,387 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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