4,638,946

2 × 13 × 67 × 2663

Starting at 4,638,946, the Collatz iteration reaches 1 after 48 steps. The first transition is 2319473; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 67 × 2663

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,608,384

Proper Divisor Sum 2,969,438

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #4638937 ← → #4638961

Radix Representation

Decimal	4638946
Binary	10001101100100011100010 (23 bits)
Octal	0o21544342
Hexadecimal	0x46C8E2

Divisor Catalog (16)

1 2 13 26 67 134 871 1,742 2,663 5,326 34,619 69,238 178,421 356,842 2,319,473 4,638,946

Collatz Trajectory (48 steps to reach 1)

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

4,638,946 2,319,473 6,958,420 3,479,210 1,739,605 5,218,816 2,609,408 1,304,704 652,352 326,176 163,088 81,544 40,772 20,386 10,193 30,580 15,290 7,645 22,936 11,468 5,734 2,867 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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