5,077,746

2 × 3² × 282097

Starting at 5,077,746, the Collatz iteration reaches 1 after 157 steps. The first transition is 2538873; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 282097

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,001,822

Proper Divisor Sum 5,924,076

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5077711 ← → #5077753

Radix Representation

Decimal	5077746
Binary	10011010111101011110010 (23 bits)
Octal	0o23275362
Hexadecimal	0x4D7AF2

Divisor Catalog (12)

1 2 3 6 9 18 282,097 564,194 846,291 1,692,582 2,538,873 5,077,746

Collatz Trajectory (157 steps to reach 1)

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

5,077,746 2,538,873 7,616,620 3,808,310 1,904,155 5,712,466 2,856,233 8,568,700 4,284,350 2,142,175 6,426,526 3,213,263 9,639,790 4,819,895 14,459,686 7,229,843 21,689,530 10,844,765 32,534,296 16,267,148 8,133,574 4,066,787 12,200,362 6,100,181 18,300,544 9,150,272 4,575,136 2,287,568 1,143,784 571,892 285,946 142,973 428,920 214,460 107,230 53,615 160,846 80,423 241,270 120,635 361,906 180,953 542,860 271,430 135,715 407,146 203,573 610,720 305,360 152,680 76,340 38,170 19,085 57,256 28,628 14,314 7,157 21,472 10,736 5,368

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