λ
Sigma Notebook

728,353

347 × 2099
Deficient Odd Composite

728,353 is odd and not a perfect square. Its factorization is 347 × 2099 and its 4 divisors sum to 730,800.

Prime Factor Structure

Factorization String 347 × 2099
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 730,800
Proper Divisor Sum 2,447
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #728333 ← → #728369

Radix Representation

Decimal 728353
Binary 10110001110100100001 (20 bits)
Octal 0o2616441
Hexadecimal 0xB1D21

Divisor Catalog (4)

1 347 2,099 728,353

Collatz Trajectory (180 steps to reach 1)

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

728,353 2,185,060 1,092,530 546,265 1,638,796 819,398 409,699 1,229,098 614,549 1,843,648 921,824 460,912 230,456 115,228 57,614 28,807 86,422 43,211 129,634 64,817 194,452 97,226 48,613 145,840 72,920 36,460 18,230 9,115 27,346 13,673 41,020 20,510 10,255 30,766 15,383 46,150 23,075 69,226 34,613 103,840 51,920 25,960 12,980 6,490 3,245 9,736 4,868 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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