2,829,000

2³ × 3 × 5³ × 23 × 41

Prime Factor Structure

Factorization String 2^3 × 3 × 5^3 × 23 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 9,434,880

Proper Divisor Sum 6,605,880

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2828999 ← → #2829007

Radix Representation

Decimal	2829000
Binary	1010110010101011001000 (22 bits)
Octal	0o12625310
Hexadecimal	0x2B2AC8

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 41 46 50 60 69 75 82 92 100 115 120 123 125 138 150 164 184 200 205 230 246 250 276 300 328 345 375 410 460 492 500 552 575 600 615 690 750 820 920 943 984 1,000 1,025 1,150

Collatz Trajectory (76 steps to reach 1)

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

2,829,000 1,414,500 707,250 353,625 1,060,876 530,438 265,219 795,658 397,829 1,193,488 596,744 298,372 149,186 74,593 223,780 111,890 55,945 167,836 83,918 41,959 125,878 62,939 188,818 94,409 283,228 141,614 70,807 212,422 106,211 318,634 159,317 477,952 238,976 119,488 59,744 29,872 14,936 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14

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