1,832,796

2² × 3² × 7² × 1039

1,832,796 factors as 2^2 × 3^2 × 7^2 × 1039. Its 54 positive divisors give a proper-divisor sum of 3,561,684, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7^2 × 1039

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 5,394,480

Proper Divisor Sum 3,561,684

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1832791 ← → #1832819

Radix Representation

Decimal	1832796
Binary	110111111011101011100 (21 bits)
Octal	0o6773534
Hexadecimal	0x1BF75C

Divisor Catalog (54)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1,039 1,764 2,078 3,117 4,156 6,234 7,273 9,351 12,468 14,546 18,702 21,819 29,092 37,404 43,638 50,911 65,457 87,276 101,822 130,914 152,733 203,644 261,828 305,466 458,199 610,932 916,398 1,832,796

Collatz Trajectory (109 steps to reach 1)

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

1,832,796 916,398 458,199 1,374,598 687,299 2,061,898 1,030,949 3,092,848 1,546,424 773,212 386,606 193,303 579,910 289,955 869,866 434,933 1,304,800 652,400 326,200 163,100 81,550 40,775 122,326 61,163 183,490 91,745 275,236 137,618 68,809 206,428 103,214 51,607 154,822 77,411 232,234 116,117 348,352 174,176 87,088 43,544 21,772 10,886 5,443 16,330 8,165 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939

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