2,814,027

3 × 17 × 23 × 2399

Starting at 2,814,027, the Collatz iteration reaches 1 after 169 steps. The first transition is 8442082; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 23 × 2399

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,147,200

Proper Divisor Sum 1,333,173

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2814017 ← → #2814041

Radix Representation

Decimal	2814027
Binary	1010101111000001001011 (22 bits)
Octal	0o12570113
Hexadecimal	0x2AF04B

Divisor Catalog (16)

1 3 17 23 51 69 391 1,173 2,399 7,197 40,783 55,177 122,349 165,531 938,009 2,814,027

Collatz Trajectory (169 steps to reach 1)

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

2,814,027 8,442,082 4,221,041 12,663,124 6,331,562 3,165,781 9,497,344 4,748,672 2,374,336 1,187,168 593,584 296,792 148,396 74,198 37,099 111,298 55,649 166,948 83,474 41,737 125,212 62,606 31,303 93,910 46,955 140,866 70,433 211,300 105,650 52,825 158,476 79,238 39,619 118,858 59,429 178,288 89,144 44,572 22,286 11,143 33,430 16,715 50,146 25,073 75,220 37,610 18,805 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496

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