424,629

3³ × 15727

For 424,629, the 8 positive divisors have a total of 629,120. Removing 424,629 leaves 204,491, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 15727

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 629,120

Proper Divisor Sum 204,491

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #424601 ← → #424639

Radix Representation

Decimal	424629
Binary	1100111101010110101 (19 bits)
Octal	0o1475265
Hexadecimal	0x67AB5

Divisor Catalog (8)

1 3 9 27 15,727 47,181 141,543 424,629

Collatz Trajectory (174 steps to reach 1)

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

424,629 1,273,888 636,944 318,472 159,236 79,618 39,809 119,428 59,714 29,857 89,572 44,786 22,393 67,180 33,590 16,795 50,386 25,193 75,580 37,790 18,895 56,686 28,343 85,030 42,515 127,546 63,773 191,320 95,660 47,830 23,915 71,746 35,873 107,620 53,810 26,905 80,716 40,358 20,179 60,538 30,269 90,808 45,404 22,702 11,351 34,054 17,027 51,082 25,541 76,624 38,312 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449

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