λ
Sigma Notebook

492,740

22 × 5 × 71 × 347
Abundant Even Composite

492,740 is even and not a perfect square. Its factorization is 2^2 × 5 × 71 × 347 and its 24 divisors sum to 1,052,352.

Prime Factor Structure

Factorization String 2^2 × 5 × 71 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,052,352
Proper Divisor Sum 559,612
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #492731 ← → #492757

Radix Representation

Decimal 492740
Binary 1111000010011000100 (19 bits)
Octal 0o1702304
Hexadecimal 0x784C4

Divisor Catalog (24)

1 2 4 5 10 20 71 142 284 347 355 694 710 1,388 1,420 1,735 3,470 6,940 24,637 49,274 98,548 123,185 246,370 492,740

Collatz Trajectory (63 steps to reach 1)

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

492,740 246,370 123,185 369,556 184,778 92,389 277,168 138,584 69,292 34,646 17,323 51,970 25,985 77,956 38,978 19,489 58,468 29,234 14,617 43,852 21,926 10,963 32,890 16,445 49,336 24,668 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16

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