757,065

3 × 5 × 41 × 1231

757,065 has the prime decomposition 3 × 5 × 41 × 1231. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 41 × 1231

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,241,856

Proper Divisor Sum 484,791

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #757063 ← → #757067

Radix Representation

Decimal	757065
Binary	10111000110101001001 (20 bits)
Octal	0o2706511
Hexadecimal	0xB8D49

Divisor Catalog (16)

1 3 5 15 41 123 205 615 1,231 3,693 6,155 18,465 50,471 151,413 252,355 757,065

Collatz Trajectory (224 steps to reach 1)

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

757,065 2,271,196 1,135,598 567,799 1,703,398 851,699 2,555,098 1,277,549 3,832,648 1,916,324 958,162 479,081 1,437,244 718,622 359,311 1,077,934 538,967 1,616,902 808,451 2,425,354 1,212,677 3,638,032 1,819,016 909,508 454,754 227,377 682,132 341,066 170,533 511,600 255,800 127,900 63,950 31,975 95,926 47,963 143,890 71,945 215,836 107,918 53,959 161,878 80,939 242,818 121,409 364,228 182,114 91,057 273,172 136,586 68,293 204,880 102,440 51,220 25,610 12,805 38,416 19,208 9,604 4,802

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