724,201

23² × 37²

724,201 factors as 23^2 × 37^2. Its 9 positive divisors give a proper-divisor sum of 53,870, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 23^2 × 37^2

Distinct Prime Factors 2

Square Status Yes (√724201 = 851)

Abundance Measure Deficient

Analytical Properties

Total Divisors 9

Divisor Sum (σ) 778,071

Proper Divisor Sum 53,870

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #724187 ← → #724211

Radix Representation

Decimal	724201
Binary	10110000110011101001 (20 bits)
Octal	0o2606351
Hexadecimal	0xB0CE9

Divisor Catalog (9)

1 23 37 529 851 1,369 19,573 31,487 724,201

Collatz Trajectory (167 steps to reach 1)

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

724,201 2,172,604 1,086,302 543,151 1,629,454 814,727 2,444,182 1,222,091 3,666,274 1,833,137 5,499,412 2,749,706 1,374,853 4,124,560 2,062,280 1,031,140 515,570 257,785 773,356 386,678 193,339 580,018 290,009 870,028 435,014 217,507 652,522 326,261 978,784 489,392 244,696 122,348 61,174 30,587 91,762 45,881 137,644 68,822 34,411 103,234 51,617 154,852 77,426 38,713 116,140 58,070 29,035 87,106 43,553 130,660 65,330 32,665 97,996 48,998 24,499 73,498 36,749 110,248 55,124 27,562

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