735,663

3 × 41 × 5981

735,663 factors as 3 × 41 × 5981. Its 8 positive divisors give a proper-divisor sum of 269,313, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 3 × 41 × 5981

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,004,976

Proper Divisor Sum 269,313

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #735659 ← → #735673

Radix Representation

Decimal	735663
Binary	10110011100110101111 (20 bits)
Octal	0o2634657
Hexadecimal	0xB39AF

Divisor Catalog (8)

1 3 41 123 5,981 17,943 245,221 735,663

Collatz Trajectory (149 steps to reach 1)

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

735,663 2,206,990 1,103,495 3,310,486 1,655,243 4,965,730 2,482,865 7,448,596 3,724,298 1,862,149 5,586,448 2,793,224 1,396,612 698,306 349,153 1,047,460 523,730 261,865 785,596 392,798 196,399 589,198 294,599 883,798 441,899 1,325,698 662,849 1,988,548 994,274 497,137 1,491,412 745,706 372,853 1,118,560 559,280 279,640 139,820 69,910 34,955 104,866 52,433 157,300 78,650 39,325 117,976 58,988 29,494 14,747 44,242 22,121 66,364 33,182 16,591 49,774 24,887 74,662 37,331 111,994 55,997 167,992

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