λ
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565,215

3 × 5 × 72 × 769
Deficient Odd Composite

565,215 factors as 3 × 5 × 7^2 × 769. Its 24 positive divisors give a proper-divisor sum of 488,145, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 769
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,053,360
Proper Divisor Sum 488,145
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #565207 ← → #565237

Radix Representation

Decimal 565215
Binary 10001001111111011111 (20 bits)
Octal 0o2117737
Hexadecimal 0x89FDF

Divisor Catalog (24)

1 3 5 7 15 21 35 49 105 147 245 735 769 2,307 3,845 5,383 11,535 16,149 26,915 37,681 80,745 113,043 188,405 565,215

Collatz Trajectory (177 steps to reach 1)

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

565,215 1,695,646 847,823 2,543,470 1,271,735 3,815,206 1,907,603 5,722,810 2,861,405 8,584,216 4,292,108 2,146,054 1,073,027 3,219,082 1,609,541 4,828,624 2,414,312 1,207,156 603,578 301,789 905,368 452,684 226,342 113,171 339,514 169,757 509,272 254,636 127,318 63,659 190,978 95,489 286,468 143,234 71,617 214,852 107,426 53,713 161,140 80,570 40,285 120,856 60,428 30,214 15,107 45,322 22,661 67,984 33,992 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586

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