λ
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28,877,288

23 × 11 × 17 × 97 × 199
Abundant Even Composite

28,877,288 factors as 2^3 × 11 × 17 × 97 × 199. Its 64 positive divisors give a proper-divisor sum of 34,626,712, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 17 × 97 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 63,504,000
Proper Divisor Sum 34,626,712
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #28877273 ← → #28877293

Radix Representation

Decimal 28877288
Binary 1101110001010000111101000 (25 bits)
Octal 0o156120750
Hexadecimal 0x1B8A1E8

Divisor Catalog (60 of 64)

1 2 4 8 11 17 22 34 44 68 88 97 136 187 194 199 374 388 398 748 776 796 1,067 1,496 1,592 1,649 2,134 2,189 3,298 3,383 4,268 4,378 6,596 6,766 8,536 8,756 13,192 13,532 17,512 18,139 19,303 27,064 36,278 37,213 38,606 72,556 74,426 77,212 145,112 148,852 154,424 212,333 297,704 328,151 424,666 656,302 849,332 1,312,604 1,698,664 2,625,208

Collatz Trajectory (92 steps to reach 1)

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

28,877,288 14,438,644 7,219,322 3,609,661 10,828,984 5,414,492 2,707,246 1,353,623 4,060,870 2,030,435 6,091,306 3,045,653 9,136,960 4,568,480 2,284,240 1,142,120 571,060 285,530 142,765 428,296 214,148 107,074 53,537 160,612 80,306 40,153 120,460 60,230 30,115 90,346 45,173 135,520 67,760 33,880 16,940 8,470 4,235 12,706 6,353 19,060 9,530 4,765 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093

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