743,526

2 × 3³ × 7² × 281

743,526 factors as 2 × 3^3 × 7^2 × 281. Its 48 positive divisors give a proper-divisor sum of 1,185,354, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 7^2 × 281

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,928,880

Proper Divisor Sum 1,185,354

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #743507 ← → #743549

Radix Representation

Decimal	743526
Binary	10110101100001100110 (20 bits)
Octal	0o2654146
Hexadecimal	0xB5866

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 281 294 378 441 562 843 882 1,323 1,686 1,967 2,529 2,646 3,934 5,058 5,901 7,587 11,802 13,769 15,174 17,703 27,538 35,406 41,307 53,109 82,614 106,218 123,921 247,842 371,763 743,526

Collatz Trajectory (118 steps to reach 1)

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

743,526 371,763 1,115,290 557,645 1,672,936 836,468 418,234 209,117 627,352 313,676 156,838 78,419 235,258 117,629 352,888 176,444 88,222 44,111 132,334 66,167 198,502 99,251 297,754 148,877 446,632 223,316 111,658 55,829 167,488 83,744 41,872 20,936 10,468 5,234 2,617 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724

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