718,365

3 × 5 × 83 × 577

718,365 factors as 3 × 5 × 83 × 577. Its 16 positive divisors give a proper-divisor sum of 446,883, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3 × 5 × 83 × 577

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,165,248

Proper Divisor Sum 446,883

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #718357 ← → #718379

Radix Representation

Decimal	718365
Binary	10101111011000011101 (20 bits)
Octal	0o2573035
Hexadecimal	0xAF61D

Divisor Catalog (16)

1 3 5 15 83 249 415 577 1,245 1,731 2,885 8,655 47,891 143,673 239,455 718,365

Collatz Trajectory (167 steps to reach 1)

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

718,365 2,155,096 1,077,548 538,774 269,387 808,162 404,081 1,212,244 606,122 303,061 909,184 454,592 227,296 113,648 56,824 28,412 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760

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