4,912,406

2 × 43 × 239²

Starting at 4,912,406, the Collatz iteration reaches 1 after 175 steps. The first transition is 2456203; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 43 × 239^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,571,652

Proper Divisor Sum 2,659,246

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4912403 ← → #4912421

Radix Representation

Decimal	4912406
Binary	10010101111010100010110 (23 bits)
Octal	0o22572426
Hexadecimal	0x4AF516

Divisor Catalog (12)

1 2 43 86 239 478 10,277 20,554 57,121 114,242 2,456,203 4,912,406

Collatz Trajectory (175 steps to reach 1)

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

4,912,406 2,456,203 7,368,610 3,684,305 11,052,916 5,526,458 2,763,229 8,289,688 4,144,844 2,072,422 1,036,211 3,108,634 1,554,317 4,662,952 2,331,476 1,165,738 582,869 1,748,608 874,304 437,152 218,576 109,288 54,644 27,322 13,661 40,984 20,492 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145

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