4,231,139

11 × 193 × 1993

Starting at 4,231,139, the Collatz iteration reaches 1 after 167 steps. The first transition is 12693418; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 193 × 1993

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,642,032

Proper Divisor Sum 410,893

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4231121 ← → #4231177

Radix Representation

Decimal	4231139
Binary	10000001000111111100011 (23 bits)
Octal	0o20107743
Hexadecimal	0x408FE3

Divisor Catalog (8)

1 11 193 1,993 2,123 21,923 384,649 4,231,139

Collatz Trajectory (167 steps to reach 1)

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

4,231,139 12,693,418 6,346,709 19,040,128 9,520,064 4,760,032 2,380,016 1,190,008 595,004 297,502 148,751 446,254 223,127 669,382 334,691 1,004,074 502,037 1,506,112 753,056 376,528 188,264 94,132 47,066 23,533 70,600 35,300 17,650 8,825 26,476 13,238 6,619 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125

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