λ
Sequence Observatory

2,886,000

24 × 3 × 53 × 13 × 37
Abundant Even Composite

Starting at 2,886,000, the Collatz iteration reaches 1 after 94 steps. The first transition is 1443000; the starting value is even with 160 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^3 × 13 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 160
Divisor Sum (σ) 10,291,008
Proper Divisor Sum 7,405,008
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2885983 ← → #2886011

Radix Representation

Decimal 2886000
Binary 1011000000100101110000 (22 bits)
Octal 0o13004560
Hexadecimal 0x2C0970

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 37 39 40 48 50 52 60 65 74 75 78 80 100 104 111 120 125 130 148 150 156 185 195 200 208 222 240 250 260 296 300 312 325 370 375 390 400 444 481 500 520 555 592

Collatz Trajectory (94 steps to reach 1)

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

2,886,000 1,443,000 721,500 360,750 180,375 541,126 270,563 811,690 405,845 1,217,536 608,768 304,384 152,192 76,096 38,048 19,024 9,512 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077

More profiles

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