575,608

2³ × 11 × 31 × 211

575,608 factors as 2^3 × 11 × 31 × 211. Its 32 positive divisors give a proper-divisor sum of 645,512, so this integer is abundant. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 31 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,221,120

Proper Divisor Sum 645,512

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #575593 ← → #575611

Radix Representation

Decimal	575608
Binary	10001100100001111000 (20 bits)
Octal	0o2144170
Hexadecimal	0x8C878

Divisor Catalog (32)

1 2 4 8 11 22 31 44 62 88 124 211 248 341 422 682 844 1,364 1,688 2,321 2,728 4,642 6,541 9,284 13,082 18,568 26,164 52,328 71,951 143,902 287,804 575,608

Collatz Trajectory (190 steps to reach 1)

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

575,608 287,804 143,902 71,951 215,854 107,927 323,782 161,891 485,674 242,837 728,512 364,256 182,128 91,064 45,532 22,766 11,383 34,150 17,075 51,226 25,613 76,840 38,420 19,210 9,605 28,816 14,408 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658

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