λ
Sigma Notebook

5,731,592

23 × 716449
Deficient Even Composite

5,731,592 is even and not a perfect square. Its factorization is 2^3 × 716449 and its 8 divisors sum to 10,746,750.

Prime Factor Structure

Factorization String 2^3 × 716449
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,746,750
Proper Divisor Sum 5,015,158
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5731591 ← → #5731619

Radix Representation

Decimal 5731592
Binary 10101110111010100001000 (23 bits)
Octal 0o25672410
Hexadecimal 0x577508

Divisor Catalog (8)

1 2 4 8 716,449 1,432,898 2,865,796 5,731,592

Collatz Trajectory (77 steps to reach 1)

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

5,731,592 2,865,796 1,432,898 716,449 2,149,348 1,074,674 537,337 1,612,012 806,006 403,003 1,209,010 604,505 1,813,516 906,758 453,379 1,360,138 680,069 2,040,208 1,020,104 510,052 255,026 127,513 382,540 191,270 95,635 286,906 143,453 430,360 215,180 107,590 53,795 161,386 80,693 242,080 121,040 60,520 30,260 15,130 7,565 22,696 11,348 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29

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