575,253

3² × 7 × 23 × 397

575,253 factors as 3^2 × 7 × 23 × 397. Its 24 positive divisors give a proper-divisor sum of 418,155, so this integer is deficient. The Collatz stopping time is 53 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 23 × 397

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 993,408

Proper Divisor Sum 418,155

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #575251 ← → #575257

Radix Representation

Decimal	575253
Binary	10001100011100010101 (20 bits)
Octal	0o2143425
Hexadecimal	0x8C715

Divisor Catalog (24)

1 3 7 9 21 23 63 69 161 207 397 483 1,191 1,449 2,779 3,573 8,337 9,131 25,011 27,393 63,917 82,179 191,751 575,253

Collatz Trajectory (53 steps to reach 1)

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

575,253 1,725,760 862,880 431,440 215,720 107,860 53,930 26,965 80,896 40,448 20,224 10,112 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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