725,089

37 × 19597

725,089 factors as 37 × 19597. Its 4 positive divisors give a proper-divisor sum of 19,635, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 37 × 19597

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 744,724

Proper Divisor Sum 19,635

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #725077 ← → #725099

Radix Representation

Decimal	725089
Binary	10110001000001100001 (20 bits)
Octal	0o2610141
Hexadecimal	0xB1061

Divisor Catalog (4)

1 37 19,597 725,089

Collatz Trajectory (198 steps to reach 1)

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

725,089 2,175,268 1,087,634 543,817 1,631,452 815,726 407,863 1,223,590 611,795 1,835,386 917,693 2,753,080 1,376,540 688,270 344,135 1,032,406 516,203 1,548,610 774,305 2,322,916 1,161,458 580,729 1,742,188 871,094 435,547 1,306,642 653,321 1,959,964 979,982 489,991 1,469,974 734,987 2,204,962 1,102,481 3,307,444 1,653,722 826,861 2,480,584 1,240,292 620,146 310,073 930,220 465,110 232,555 697,666 348,833 1,046,500 523,250 261,625 784,876 392,438 196,219 588,658 294,329 882,988 441,494 220,747 662,242 331,121 993,364

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