575,667

3⁵ × 23 × 103

575,667 factors as 3^5 × 23 × 103. Its 24 positive divisors give a proper-divisor sum of 332,877, so this integer is deficient. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 3^5 × 23 × 103

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 908,544

Proper Divisor Sum 332,877

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #575651 ← → #575669

Radix Representation

Decimal	575667
Binary	10001100100010110011 (20 bits)
Octal	0o2144263
Hexadecimal	0x8C8B3

Divisor Catalog (24)

1 3 9 23 27 69 81 103 207 243 309 621 927 1,863 2,369 2,781 5,589 7,107 8,343 21,321 25,029 63,963 191,889 575,667

Collatz Trajectory (102 steps to reach 1)

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

575,667 1,727,002 863,501 2,590,504 1,295,252 647,626 323,813 971,440 485,720 242,860 121,430 60,715 182,146 91,073 273,220 136,610 68,305 204,916 102,458 51,229 153,688 76,844 38,422 19,211 57,634 28,817 86,452 43,226 21,613 64,840 32,420 16,210 8,105 24,316 12,158 6,079 18,238 9,119 27,358 13,679 41,038 20,519 61,558 30,779 92,338 46,169 138,508 69,254 34,627 103,882 51,941 155,824 77,912 38,956 19,478 9,739 29,218 14,609 43,828 21,914

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