824,243

7 × 73 × 1613

824,243 factors as 7 × 73 × 1613. Its 8 positive divisors give a proper-divisor sum of 131,245, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 7 × 73 × 1613

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 955,488

Proper Divisor Sum 131,245

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #824233 ← → #824269

Radix Representation

Decimal	824243
Binary	11001001001110110011 (20 bits)
Octal	0o3111663
Hexadecimal	0xC93B3

Divisor Catalog (8)

1 7 73 511 1,613 11,291 117,749 824,243

Collatz Trajectory (175 steps to reach 1)

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

824,243 2,472,730 1,236,365 3,709,096 1,854,548 927,274 463,637 1,390,912 695,456 347,728 173,864 86,932 43,466 21,733 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146

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