λ
Modular Archive

728,523

32 × 61 × 1327
Deficient Odd Composite

The decimal integer 728,523 is 10110001110111001011 in binary (20 bits), 2616713 in octal and B1DCB in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^2 × 61 × 1327
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,070,368
Proper Divisor Sum 341,845
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #728521 ← → #728527

Radix Representation

Decimal 728523
Binary 10110001110111001011 (20 bits)
Octal 0o2616713
Hexadecimal 0xB1DCB

Divisor Catalog (12)

1 3 9 61 183 549 1,327 3,981 11,943 80,947 242,841 728,523

Collatz Trajectory (286 steps to reach 1)

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

728,523 2,185,570 1,092,785 3,278,356 1,639,178 819,589 2,458,768 1,229,384 614,692 307,346 153,673 461,020 230,510 115,255 345,766 172,883 518,650 259,325 777,976 388,988 194,494 97,247 291,742 145,871 437,614 218,807 656,422 328,211 984,634 492,317 1,476,952 738,476 369,238 184,619 553,858 276,929 830,788 415,394 207,697 623,092 311,546 155,773 467,320 233,660 116,830 58,415 175,246 87,623 262,870 131,435 394,306 197,153 591,460 295,730 147,865 443,596 221,798 110,899 332,698 166,349

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