λ
Integer Codex

565,401

3 × 229 × 823
Deficient Odd Composite

For 565,401, the 8 positive divisors have a total of 758,080. Removing 565,401 leaves 192,679, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 229 × 823
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 758,080
Proper Divisor Sum 192,679
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #565393 ← → #565427

Radix Representation

Decimal 565401
Binary 10001010000010011001 (20 bits)
Octal 0o2120231
Hexadecimal 0x8A099

Divisor Catalog (8)

1 3 229 687 823 2,469 188,467 565,401

Collatz Trajectory (133 steps to reach 1)

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

565,401 1,696,204 848,102 424,051 1,272,154 636,077 1,908,232 954,116 477,058 238,529 715,588 357,794 178,897 536,692 268,346 134,173 402,520 201,260 100,630 50,315 150,946 75,473 226,420 113,210 56,605 169,816 84,908 42,454 21,227 63,682 31,841 95,524 47,762 23,881 71,644 35,822 17,911 53,734 26,867 80,602 40,301 120,904 60,452 30,226 15,113 45,340 22,670 11,335 34,006 17,003 51,010 25,505 76,516 38,258 19,129 57,388 28,694 14,347 43,042 21,521

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