2,042,829

3² × 61³

2,042,829 factors as 3^2 × 61^3. Its 12 positive divisors give a proper-divisor sum of 957,103, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 3^2 × 61^3

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,999,932

Proper Divisor Sum 957,103

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2042819 ← → #2042849

Radix Representation

Decimal	2042829
Binary	111110010101111001101 (21 bits)
Octal	0o7625715
Hexadecimal	0x1F2BCD

Divisor Catalog (12)

1 3 9 61 183 549 3,721 11,163 33,489 226,981 680,943 2,042,829

Collatz Trajectory (166 steps to reach 1)

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

2,042,829 6,128,488 3,064,244 1,532,122 766,061 2,298,184 1,149,092 574,546 287,273 861,820 430,910 215,455 646,366 323,183 969,550 484,775 1,454,326 727,163 2,181,490 1,090,745 3,272,236 1,636,118 818,059 2,454,178 1,227,089 3,681,268 1,840,634 920,317 2,760,952 1,380,476 690,238 345,119 1,035,358 517,679 1,553,038 776,519 2,329,558 1,164,779 3,494,338 1,747,169 5,241,508 2,620,754 1,310,377 3,931,132 1,965,566 982,783 2,948,350 1,474,175 4,422,526 2,211,263 6,633,790 3,316,895 9,950,686 4,975,343 14,926,030 7,463,015 22,389,046 11,194,523 33,583,570 16,791,785

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