759,159

3³ × 31 × 907

759,159 factors as 3^3 × 31 × 907. Its 16 positive divisors give a proper-divisor sum of 403,081, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 3^3 × 31 × 907

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,162,240

Proper Divisor Sum 403,081

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #759149 ← → #759167

Radix Representation

Decimal	759159
Binary	10111001010101110111 (20 bits)
Octal	0o2712567
Hexadecimal	0xB9577

Divisor Catalog (16)

1 3 9 27 31 93 279 837 907 2,721 8,163 24,489 28,117 84,351 253,053 759,159

Collatz Trajectory (79 steps to reach 1)

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

759,159 2,277,478 1,138,739 3,416,218 1,708,109 5,124,328 2,562,164 1,281,082 640,541 1,921,624 960,812 480,406 240,203 720,610 360,305 1,080,916 540,458 270,229 810,688 405,344 202,672 101,336 50,668 25,334 12,667 38,002 19,001 57,004 28,502 14,251 42,754 21,377 64,132 32,066 16,033 48,100 24,050 12,025 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803

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