824,329

11 × 137 × 547

824,329 factors as 11 × 137 × 547. Its 8 positive divisors give a proper-divisor sum of 83,159, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 11 × 137 × 547

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 907,488

Proper Divisor Sum 83,159

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #824287 ← → #824339

Radix Representation

Decimal	824329
Binary	11001001010000001001 (20 bits)
Octal	0o3112011
Hexadecimal	0xC9409

Divisor Catalog (8)

1 11 137 547 1,507 6,017 74,939 824,329

Collatz Trajectory (113 steps to reach 1)

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

824,329 2,472,988 1,236,494 618,247 1,854,742 927,371 2,782,114 1,391,057 4,173,172 2,086,586 1,043,293 3,129,880 1,564,940 782,470 391,235 1,173,706 586,853 1,760,560 880,280 440,140 220,070 110,035 330,106 165,053 495,160 247,580 123,790 61,895 185,686 92,843 278,530 139,265 417,796 208,898 104,449 313,348 156,674 78,337 235,012 117,506 58,753 176,260 88,130 44,065 132,196 66,098 33,049 99,148 49,574 24,787 74,362 37,181 111,544 55,772 27,886 13,943 41,830 20,915 62,746 31,373

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