824,209

29 × 97 × 293

For 824,209, the 8 positive divisors have a total of 864,360. Removing 824,209 leaves 40,151, which gives the deficient classification.

Prime Factor Structure

Factorization String 29 × 97 × 293

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 864,360

Proper Divisor Sum 40,151

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #824191 ← → #824227

Radix Representation

Decimal	824209
Binary	11001001001110010001 (20 bits)
Octal	0o3111621
Hexadecimal	0xC9391

Divisor Catalog (8)

1 29 97 293 2,813 8,497 28,421 824,209

Collatz Trajectory (175 steps to reach 1)

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

824,209 2,472,628 1,236,314 618,157 1,854,472 927,236 463,618 231,809 695,428 347,714 173,857 521,572 260,786 130,393 391,180 195,590 97,795 293,386 146,693 440,080 220,040 110,020 55,010 27,505 82,516 41,258 20,629 61,888 30,944 15,472 7,736 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146

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