727,709

41 × 17749

727,709 factors as 41 × 17749. Its 4 positive divisors give a proper-divisor sum of 17,791, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 41 × 17749

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 745,500

Proper Divisor Sum 17,791

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #727703 ← → #727711

Radix Representation

Decimal	727709
Binary	10110001101010011101 (20 bits)
Octal	0o2615235
Hexadecimal	0xB1A9D

Divisor Catalog (4)

1 41 17,749 727,709

Collatz Trajectory (180 steps to reach 1)

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

727,709 2,183,128 1,091,564 545,782 272,891 818,674 409,337 1,228,012 614,006 307,003 921,010 460,505 1,381,516 690,758 345,379 1,036,138 518,069 1,554,208 777,104 388,552 194,276 97,138 48,569 145,708 72,854 36,427 109,282 54,641 163,924 81,962 40,981 122,944 61,472 30,736 15,368 7,684 3,842 1,921 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772

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