2,787,800

2³ × 5² × 53 × 263

Starting at 2,787,800, the Collatz iteration reaches 1 after 169 steps. The first transition is 1393900; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 53 × 263

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,629,040

Proper Divisor Sum 3,841,240

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2787781 ← → #2787859

Radix Representation

Decimal	2787800
Binary	1010101000100111011000 (22 bits)
Octal	0o12504730
Hexadecimal	0x2A89D8

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 263 265 424 526 530 1,052 1,060 1,315 1,325 2,104 2,120 2,630 2,650 5,260 5,300 6,575 10,520 10,600 13,150 13,939 26,300 27,878 52,600 55,756 69,695 111,512 139,390 278,780 348,475 557,560 696,950 1,393,900 2,787,800

Collatz Trajectory (169 steps to reach 1)

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

2,787,800 1,393,900 696,950 348,475 1,045,426 522,713 1,568,140 784,070 392,035 1,176,106 588,053 1,764,160 882,080 441,040 220,520 110,260 55,130 27,565 82,696 41,348 20,674 10,337 31,012 15,506 7,753 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82

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