4,810,314

2 × 3 × 809 × 991

Starting at 4,810,314, the Collatz iteration reaches 1 after 69 steps. The first transition is 2405157; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 809 × 991

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,642,240

Proper Divisor Sum 4,831,926

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4810313 ← → #4810343

Radix Representation

Decimal	4810314
Binary	10010010110011001001010 (23 bits)
Octal	0o22263112
Hexadecimal	0x49664A

Divisor Catalog (16)

1 2 3 6 809 991 1,618 1,982 2,427 2,973 4,854 5,946 801,719 1,603,438 2,405,157 4,810,314

Collatz Trajectory (69 steps to reach 1)

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

4,810,314 2,405,157 7,215,472 3,607,736 1,803,868 901,934 450,967 1,352,902 676,451 2,029,354 1,014,677 3,044,032 1,522,016 761,008 380,504 190,252 95,126 47,563 142,690 71,345 214,036 107,018 53,509 160,528 80,264 40,132 20,066 10,033 30,100 15,050 7,525 22,576 11,288 5,644 2,822 1,411 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26

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