828,224

2⁶ × 12941

For 828,224, the 14 positive divisors have a total of 1,643,634. Removing 828,224 leaves 815,410, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^6 × 12941

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 1,643,634

Proper Divisor Sum 815,410

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #828221 ← → #828239

Radix Representation

Decimal	828224
Binary	11001010001101000000 (20 bits)
Octal	0o3121500
Hexadecimal	0xCA340

Divisor Catalog (14)

1 2 4 8 16 32 64 12,941 25,882 51,764 103,528 207,056 414,112 828,224

Collatz Trajectory (56 steps to reach 1)

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

828,224 414,112 207,056 103,528 51,764 25,882 12,941 38,824 19,412 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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