λ
Sequence Observatory

2,886,380

22 × 5 × 7 × 53 × 389
Abundant Even Composite

Starting at 2,886,380, the Collatz iteration reaches 1 after 213 steps. The first transition is 1443190; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 53 × 389
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,076,160
Proper Divisor Sum 4,189,780
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2886371 ← → #2886383

Radix Representation

Decimal 2886380
Binary 1011000000101011101100 (22 bits)
Octal 0o13005354
Hexadecimal 0x2C0AEC

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 389 530 742 778 1,060 1,484 1,556 1,855 1,945 2,723 3,710 3,890 5,446 7,420 7,780 10,892 13,615 20,617 27,230 41,234 54,460 82,468 103,085 144,319 206,170 288,638 412,340 577,276 721,595 1,443,190 2,886,380

Collatz Trajectory (213 steps to reach 1)

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

2,886,380 1,443,190 721,595 2,164,786 1,082,393 3,247,180 1,623,590 811,795 2,435,386 1,217,693 3,653,080 1,826,540 913,270 456,635 1,369,906 684,953 2,054,860 1,027,430 513,715 1,541,146 770,573 2,311,720 1,155,860 577,930 288,965 866,896 433,448 216,724 108,362 54,181 162,544 81,272 40,636 20,318 10,159 30,478 15,239 45,718 22,859 68,578 34,289 102,868 51,434 25,717 77,152 38,576 19,288 9,644 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053

More profiles

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