2,829,141

3³ × 7 × 14969

2,829,141 factors as 3^3 × 7 × 14969. Its 16 positive divisors give a proper-divisor sum of 1,961,259, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 14969

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,790,400

Proper Divisor Sum 1,961,259

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2829139 ← → #2829143

Radix Representation

Decimal	2829141
Binary	1010110010101101010101 (22 bits)
Octal	0o12625525
Hexadecimal	0x2B2B55

Divisor Catalog (16)

1 3 7 9 21 27 63 189 14,969 44,907 104,783 134,721 314,349 404,163 943,047 2,829,141

Collatz Trajectory (125 steps to reach 1)

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

2,829,141 8,487,424 4,243,712 2,121,856 1,060,928 530,464 265,232 132,616 66,308 33,154 16,577 49,732 24,866 12,433 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

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