824,588

2² × 211 × 977

824,588 factors as 2^2 × 211 × 977. Its 12 positive divisors give a proper-divisor sum of 626,764, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^2 × 211 × 977

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,451,352

Proper Divisor Sum 626,764

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #824563 ← → #824591

Radix Representation

Decimal	824588
Binary	11001001010100001100 (20 bits)
Octal	0o3112414
Hexadecimal	0xC950C

Divisor Catalog (12)

1 2 4 211 422 844 977 1,954 3,908 206,147 412,294 824,588

Collatz Trajectory (144 steps to reach 1)

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

824,588 412,294 206,147 618,442 309,221 927,664 463,832 231,916 115,958 57,979 173,938 86,969 260,908 130,454 65,227 195,682 97,841 293,524 146,762 73,381 220,144 110,072 55,036 27,518 13,759 41,278 20,639 61,918 30,959 92,878 46,439 139,318 69,659 208,978 104,489 313,468 156,734 78,367 235,102 117,551 352,654 176,327 528,982 264,491 793,474 396,737 1,190,212 595,106 297,553 892,660 446,330 223,165 669,496 334,748 167,374 83,687 251,062 125,531 376,594 188,297

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