735,006

2 × 3 × 122501

735,006 factors as 2 × 3 × 122501. Its 8 positive divisors give a proper-divisor sum of 735,018, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2 × 3 × 122501

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,470,024

Proper Divisor Sum 735,018

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #735001 ← → #735019

Radix Representation

Decimal	735006
Binary	10110011011100011110 (20 bits)
Octal	0o2633436
Hexadecimal	0xB371E

Divisor Catalog (8)

1 2 3 6 122,501 245,002 367,503 735,006

Collatz Trajectory (87 steps to reach 1)

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

735,006 367,503 1,102,510 551,255 1,653,766 826,883 2,480,650 1,240,325 3,720,976 1,860,488 930,244 465,122 232,561 697,684 348,842 174,421 523,264 261,632 130,816 65,408 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130

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