254,788

2² × 63697

For 254,788, the 6 positive divisors have a total of 445,886. Removing 254,788 leaves 191,098, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 63697

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 445,886

Proper Divisor Sum 191,098

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #254783 ← → #254791

Radix Representation

Decimal	254788
Binary	111110001101000100 (18 bits)
Octal	0o761504
Hexadecimal	0x3E344

Divisor Catalog (6)

1 2 4 63,697 127,394 254,788

Collatz Trajectory (106 steps to reach 1)

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

254,788 127,394 63,697 191,092 95,546 47,773 143,320 71,660 35,830 17,915 53,746 26,873 80,620 40,310 20,155 60,466 30,233 90,700 45,350 22,675 68,026 34,013 102,040 51,020 25,510 12,755 38,266 19,133 57,400 28,700 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706

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