726,121

11² × 17 × 353

726,121 has digital root 1. The neighboring primes are 726109 and 726137; its proper-divisor sum differs from the starting integer by -604,766.

Prime Factor Structure

Factorization String 11^2 × 17 × 353

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 847,476

Proper Divisor Sum 121,355

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #726109 ← → #726137

Radix Representation

Decimal	726121
Binary	10110001010001101001 (20 bits)
Octal	0o2612151
Hexadecimal	0xB1469

Divisor Catalog (12)

1 11 17 121 187 353 2,057 3,883 6,001 42,713 66,011 726,121

Collatz Trajectory (92 steps to reach 1)

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

726,121 2,178,364 1,089,182 544,591 1,633,774 816,887 2,450,662 1,225,331 3,675,994 1,837,997 5,513,992 2,756,996 1,378,498 689,249 2,067,748 1,033,874 516,937 1,550,812 775,406 387,703 1,163,110 581,555 1,744,666 872,333 2,617,000 1,308,500 654,250 327,125 981,376 490,688 245,344 122,672 61,336 30,668 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769

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