790,749

3³ × 29287

790,749 factors as 3^3 × 29287. Its 8 positive divisors give a proper-divisor sum of 380,771, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 3^3 × 29287

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,171,520

Proper Divisor Sum 380,771

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #790747 ← → #790753

Radix Representation

Decimal	790749
Binary	11000001000011011101 (20 bits)
Octal	0o3010335
Hexadecimal	0xC10DD

Divisor Catalog (8)

1 3 9 27 29,287 87,861 263,583 790,749

Collatz Trajectory (149 steps to reach 1)

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

790,749 2,372,248 1,186,124 593,062 296,531 889,594 444,797 1,334,392 667,196 333,598 166,799 500,398 250,199 750,598 375,299 1,125,898 562,949 1,688,848 844,424 422,212 211,106 105,553 316,660 158,330 79,165 237,496 118,748 59,374 29,687 89,062 44,531 133,594 66,797 200,392 100,196 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021

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