λ
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813,604

22 × 112 × 412
Deficient Even Composite Square (√ = 902)

813,604 factors as 2^2 × 11^2 × 41^2. Its 27 positive divisors give a proper-divisor sum of 790,509, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 41^2
Distinct Prime Factors 3
Square Status Yes (√813604 = 902)
Abundance Measure Deficient

Analytical Properties

Total Divisors 27
Divisor Sum (σ) 1,604,113
Proper Divisor Sum 790,509
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #813601 ← → #813613

Radix Representation

Decimal 813604
Binary 11000110101000100100 (20 bits)
Octal 0o3065044
Hexadecimal 0xC6A24

Divisor Catalog (27)

1 2 4 11 22 41 44 82 121 164 242 451 484 902 1,681 1,804 3,362 4,961 6,724 9,922 18,491 19,844 36,982 73,964 203,401 406,802 813,604

Collatz Trajectory (113 steps to reach 1)

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

813,604 406,802 203,401 610,204 305,102 152,551 457,654 228,827 686,482 343,241 1,029,724 514,862 257,431 772,294 386,147 1,158,442 579,221 1,737,664 868,832 434,416 217,208 108,604 54,302 27,151 81,454 40,727 122,182 61,091 183,274 91,637 274,912 137,456 68,728 34,364 17,182 8,591 25,774 12,887 38,662 19,331 57,994 28,997 86,992 43,496 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164

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