484,034

2 × 31 × 37 × 211

484,034 factors as 2 × 31 × 37 × 211. Its 16 positive divisors give a proper-divisor sum of 289,342, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2 × 31 × 37 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 773,376

Proper Divisor Sum 289,342

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #484027 ← → #484037

Radix Representation

Decimal	484034
Binary	1110110001011000010 (19 bits)
Octal	0o1661302
Hexadecimal	0x762C2

Divisor Catalog (16)

1 2 31 37 62 74 211 422 1,147 2,294 6,541 7,807 13,082 15,614 242,017 484,034

Collatz Trajectory (182 steps to reach 1)

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

484,034 242,017 726,052 363,026 181,513 544,540 272,270 136,135 408,406 204,203 612,610 306,305 918,916 459,458 229,729 689,188 344,594 172,297 516,892 258,446 129,223 387,670 193,835 581,506 290,753 872,260 436,130 218,065 654,196 327,098 163,549 490,648 245,324 122,662 61,331 183,994 91,997 275,992 137,996 68,998 34,499 103,498 51,749 155,248 77,624 38,812 19,406 9,703 29,110 14,555 43,666 21,833 65,500 32,750 16,375 49,126 24,563 73,690 36,845 110,536

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