743,855

5 × 7 × 53 × 401

743,855 factors as 5 × 7 × 53 × 401. Its 16 positive divisors give a proper-divisor sum of 298,129, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 5 × 7 × 53 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,041,984

Proper Divisor Sum 298,129

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #743851 ← → #743881

Radix Representation

Decimal	743855
Binary	10110101100110101111 (20 bits)
Octal	0o2654657
Hexadecimal	0xB59AF

Divisor Catalog (16)

1 5 7 35 53 265 371 401 1,855 2,005 2,807 14,035 21,253 106,265 148,771 743,855

Collatz Trajectory (118 steps to reach 1)

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

743,855 2,231,566 1,115,783 3,347,350 1,673,675 5,021,026 2,510,513 7,531,540 3,765,770 1,882,885 5,648,656 2,824,328 1,412,164 706,082 353,041 1,059,124 529,562 264,781 794,344 397,172 198,586 99,293 297,880 148,940 74,470 37,235 111,706 55,853 167,560 83,780 41,890 20,945 62,836 31,418 15,709 47,128 23,564 11,782 5,891 17,674 8,837 26,512 13,256 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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