λ
Math Directory

730,731

3 × 243577
Deficient Odd Composite

730,731 factors as 3 × 243577. Its 4 positive divisors give a proper-divisor sum of 243,581, so this integer is deficient. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 3 × 243577
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 974,312
Proper Divisor Sum 243,581
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #730727 ← → #730747

Radix Representation

Decimal 730731
Binary 10110010011001101011 (20 bits)
Octal 0o2623153
Hexadecimal 0xB266B

Divisor Catalog (4)

1 3 243,577 730,731

Collatz Trajectory (255 steps to reach 1)

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

730,731 2,192,194 1,096,097 3,288,292 1,644,146 822,073 2,466,220 1,233,110 616,555 1,849,666 924,833 2,774,500 1,387,250 693,625 2,080,876 1,040,438 520,219 1,560,658 780,329 2,340,988 1,170,494 585,247 1,755,742 877,871 2,633,614 1,316,807 3,950,422 1,975,211 5,925,634 2,962,817 8,888,452 4,444,226 2,222,113 6,666,340 3,333,170 1,666,585 4,999,756 2,499,878 1,249,939 3,749,818 1,874,909 5,624,728 2,812,364 1,406,182 703,091 2,109,274 1,054,637 3,163,912 1,581,956 790,978 395,489 1,186,468 593,234 296,617 889,852 444,926 222,463 667,390 333,695 1,001,086

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