λ
Prime Ledger

565,573

172 × 19 × 103
Deficient Odd Composite

565,573 has the prime decomposition 17^2 × 19 × 103. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 17^2 × 19 × 103
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 638,560
Proper Divisor Sum 72,987
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #565571 ← → #565583

Radix Representation

Decimal 565573
Binary 10001010000101000101 (20 bits)
Octal 0o2120505
Hexadecimal 0x8A145

Divisor Catalog (12)

1 17 19 103 289 323 1,751 1,957 5,491 29,767 33,269 565,573

Collatz Trajectory (283 steps to reach 1)

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

565,573 1,696,720 848,360 424,180 212,090 106,045 318,136 159,068 79,534 39,767 119,302 59,651 178,954 89,477 268,432 134,216 67,108 33,554 16,777 50,332 25,166 12,583 37,750 18,875 56,626 28,313 84,940 42,470 21,235 63,706 31,853 95,560 47,780 23,890 11,945 35,836 17,918 8,959 26,878 13,439 40,318 20,159 60,478 30,239 90,718 45,359 136,078 68,039 204,118 102,059 306,178 153,089 459,268 229,634 114,817 344,452 172,226 86,113 258,340 129,170

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