298,468

2² × 29 × 31 × 83

298,468 factors as 2^2 × 29 × 31 × 83. Its 24 positive divisors give a proper-divisor sum of 266,012, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 31 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 564,480

Proper Divisor Sum 266,012

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #298451 ← → #298477

Radix Representation

Decimal	298468
Binary	1001000110111100100 (19 bits)
Octal	0o1106744
Hexadecimal	0x48DE4

Divisor Catalog (24)

1 2 4 29 31 58 62 83 116 124 166 332 899 1,798 2,407 2,573 3,596 4,814 5,146 9,628 10,292 74,617 149,234 298,468

Collatz Trajectory (96 steps to reach 1)

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

298,468 149,234 74,617 223,852 111,926 55,963 167,890 83,945 251,836 125,918 62,959 188,878 94,439 283,318 141,659 424,978 212,489 637,468 318,734 159,367 478,102 239,051 717,154 358,577 1,075,732 537,866 268,933 806,800 403,400 201,700 100,850 50,425 151,276 75,638 37,819 113,458 56,729 170,188 85,094 42,547 127,642 63,821 191,464 95,732 47,866 23,933 71,800 35,900 17,950 8,975 26,926 13,463 40,390 20,195 60,586 30,293 90,880 45,440 22,720 11,360

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