λ
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759,506

2 × 11 × 19 × 23 × 79
Deficient Even Composite

759,506 factors as 2 × 11 × 19 × 23 × 79. Its 32 positive divisors give a proper-divisor sum of 622,894, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2 × 11 × 19 × 23 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,382,400
Proper Divisor Sum 622,894
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #759503 ← → #759523

Radix Representation

Decimal 759506
Binary 10111001011011010010 (20 bits)
Octal 0o2713322
Hexadecimal 0xB96D2

Divisor Catalog (32)

1 2 11 19 22 23 38 46 79 158 209 253 418 437 506 869 874 1,501 1,738 1,817 3,002 3,634 4,807 9,614 16,511 19,987 33,022 34,523 39,974 69,046 379,753 759,506

Collatz Trajectory (149 steps to reach 1)

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

759,506 379,753 1,139,260 569,630 284,815 854,446 427,223 1,281,670 640,835 1,922,506 961,253 2,883,760 1,441,880 720,940 360,470 180,235 540,706 270,353 811,060 405,530 202,765 608,296 304,148 152,074 76,037 228,112 114,056 57,028 28,514 14,257 42,772 21,386 10,693 32,080 16,040 8,020 4,010 2,005 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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