218,744

2³ × 37 × 739

218,744 factors as 2^3 × 37 × 739. Its 16 positive divisors give a proper-divisor sum of 203,056, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 739

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 421,800

Proper Divisor Sum 203,056

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #218737 ← → #218749

Radix Representation

Decimal	218744
Binary	110101011001111000 (18 bits)
Octal	0o653170
Hexadecimal	0x35678

Divisor Catalog (16)

1 2 4 8 37 74 148 296 739 1,478 2,956 5,912 27,343 54,686 109,372 218,744

Collatz Trajectory (124 steps to reach 1)

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

218,744 109,372 54,686 27,343 82,030 41,015 123,046 61,523 184,570 92,285 276,856 138,428 69,214 34,607 103,822 51,911 155,734 77,867 233,602 116,801 350,404 175,202 87,601 262,804 131,402 65,701 197,104 98,552 49,276 24,638 12,319 36,958 18,479 55,438 27,719 83,158 41,579 124,738 62,369 187,108 93,554 46,777 140,332 70,166 35,083 105,250 52,625 157,876 78,938 39,469 118,408 59,204 29,602 14,801 44,404 22,202 11,101 33,304 16,652 8,326

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