1,832,481

3² × 7 × 17 × 29 × 59

1,832,481 factors as 3^2 × 7 × 17 × 29 × 59. Its 48 positive divisors give a proper-divisor sum of 1,537,119, so this integer is deficient. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 17 × 29 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,369,600

Proper Divisor Sum 1,537,119

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1832477 ← → #1832497

Radix Representation

Decimal	1832481
Binary	110111111011000100001 (21 bits)
Octal	0o6773041
Hexadecimal	0x1BF621

Divisor Catalog (48)

1 3 7 9 17 21 29 51 59 63 87 119 153 177 203 261 357 413 493 531 609 1,003 1,071 1,239 1,479 1,711 1,827 3,009 3,451 3,717 4,437 5,133 7,021 9,027 10,353 11,977 15,399 21,063 29,087 31,059 35,931 63,189 87,261 107,793 203,609 261,783 610,827 1,832,481

Collatz Trajectory (171 steps to reach 1)

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

1,832,481 5,497,444 2,748,722 1,374,361 4,123,084 2,061,542 1,030,771 3,092,314 1,546,157 4,638,472 2,319,236 1,159,618 579,809 1,739,428 869,714 434,857 1,304,572 652,286 326,143 978,430 489,215 1,467,646 733,823 2,201,470 1,100,735 3,302,206 1,651,103 4,953,310 2,476,655 7,429,966 3,714,983 11,144,950 5,572,475 16,717,426 8,358,713 25,076,140 12,538,070 6,269,035 18,807,106 9,403,553 28,210,660 14,105,330 7,052,665 21,157,996 10,578,998 5,289,499 15,868,498 7,934,249 23,802,748 11,901,374 5,950,687 17,852,062 8,926,031 26,778,094 13,389,047 40,167,142 20,083,571 60,250,714 30,125,357 90,376,072

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