424,268

2² × 13 × 41 × 199

424,268 factors as 2^2 × 13 × 41 × 199. Its 24 positive divisors give a proper-divisor sum of 398,932, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 41 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 823,200

Proper Divisor Sum 398,932

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #424267 ← → #424271

Radix Representation

Decimal	424268
Binary	1100111100101001100 (19 bits)
Octal	0o1474514
Hexadecimal	0x6794C

Divisor Catalog (24)

1 2 4 13 26 41 52 82 164 199 398 533 796 1,066 2,132 2,587 5,174 8,159 10,348 16,318 32,636 106,067 212,134 424,268

Collatz Trajectory (125 steps to reach 1)

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

424,268 212,134 106,067 318,202 159,101 477,304 238,652 119,326 59,663 178,990 89,495 268,486 134,243 402,730 201,365 604,096 302,048 151,024 75,512 37,756 18,878 9,439 28,318 14,159 42,478 21,239 63,718 31,859 95,578 47,789 143,368 71,684 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692

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