823,028

2² × 37 × 67 × 83

823,028 is even and not a perfect square. Its factorization is 2^2 × 37 × 67 × 83 and its 24 divisors sum to 1,519,392.

Prime Factor Structure

Factorization String 2^2 × 37 × 67 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,519,392

Proper Divisor Sum 696,364

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #823013 ← → #823033

Radix Representation

Decimal	823028
Binary	11001000111011110100 (20 bits)
Octal	0o3107364
Hexadecimal	0xC8EF4

Divisor Catalog (24)

1 2 4 37 67 74 83 134 148 166 268 332 2,479 3,071 4,958 5,561 6,142 9,916 11,122 12,284 22,244 205,757 411,514 823,028

Collatz Trajectory (144 steps to reach 1)

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

823,028 411,514 205,757 617,272 308,636 154,318 77,159 231,478 115,739 347,218 173,609 520,828 260,414 130,207 390,622 195,311 585,934 292,967 878,902 439,451 1,318,354 659,177 1,977,532 988,766 494,383 1,483,150 741,575 2,224,726 1,112,363 3,337,090 1,668,545 5,005,636 2,502,818 1,251,409 3,754,228 1,877,114 938,557 2,815,672 1,407,836 703,918 351,959 1,055,878 527,939 1,583,818 791,909 2,375,728 1,187,864 593,932 296,966 148,483 445,450 222,725 668,176 334,088 167,044 83,522 41,761 125,284 62,642 31,321

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