4,614,642

2 × 3² × 256369

Starting at 4,614,642, the Collatz iteration reaches 1 after 193 steps. The first transition is 2307321; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 256369

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,998,430

Proper Divisor Sum 5,383,788

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4614641 ← → #4614671

Radix Representation

Decimal	4614642
Binary	10001100110100111110010 (23 bits)
Octal	0o21464762
Hexadecimal	0x4669F2

Divisor Catalog (12)

1 2 3 6 9 18 256,369 512,738 769,107 1,538,214 2,307,321 4,614,642

Collatz Trajectory (193 steps to reach 1)

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

4,614,642 2,307,321 6,921,964 3,460,982 1,730,491 5,191,474 2,595,737 7,787,212 3,893,606 1,946,803 5,840,410 2,920,205 8,760,616 4,380,308 2,190,154 1,095,077 3,285,232 1,642,616 821,308 410,654 205,327 615,982 307,991 923,974 461,987 1,385,962 692,981 2,078,944 1,039,472 519,736 259,868 129,934 64,967 194,902 97,451 292,354 146,177 438,532 219,266 109,633 328,900 164,450 82,225 246,676 123,338 61,669 185,008 92,504 46,252 23,126 11,563 34,690 17,345 52,036 26,018 13,009 39,028 19,514 9,757 29,272

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