λ
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2,909,802

2 × 3 × 7 × 29 × 2389
Abundant Even Composite

2,909,802 factors as 2 × 3 × 7 × 29 × 2389. Its 32 positive divisors give a proper-divisor sum of 3,973,398, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 29 × 2389
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,883,200
Proper Divisor Sum 3,973,398
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2909789 ← → #2909813

Radix Representation

Decimal 2909802
Binary 1011000110011001101010 (22 bits)
Octal 0o13063152
Hexadecimal 0x2C666A

Divisor Catalog (32)

1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1,218 2,389 4,778 7,167 14,334 16,723 33,446 50,169 69,281 100,338 138,562 207,843 415,686 484,967 969,934 1,454,901 2,909,802

Collatz Trajectory (182 steps to reach 1)

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

2,909,802 1,454,901 4,364,704 2,182,352 1,091,176 545,588 272,794 136,397 409,192 204,596 102,298 51,149 153,448 76,724 38,362 19,181 57,544 28,772 14,386 7,193 21,580 10,790 5,395 16,186 8,093 24,280 12,140 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514

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