5,658,939

3² × 11 × 13 × 4397

Starting at 5,658,939, the Collatz iteration reaches 1 after 77 steps. The first transition is 16976818; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 13 × 4397

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,605,232

Proper Divisor Sum 3,946,293

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #5658899 ← → #5658949

Radix Representation

Decimal	5658939
Binary	10101100101100100111011 (23 bits)
Octal	0o25454473
Hexadecimal	0x56593B

Divisor Catalog (24)

1 3 9 11 13 33 39 99 117 143 429 1,287 4,397 13,191 39,573 48,367 57,161 145,101 171,483 435,303 514,449 628,771 1,886,313 5,658,939

Collatz Trajectory (77 steps to reach 1)

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

5,658,939 16,976,818 8,488,409 25,465,228 12,732,614 6,366,307 19,098,922 9,549,461 28,648,384 14,324,192 7,162,096 3,581,048 1,790,524 895,262 447,631 1,342,894 671,447 2,014,342 1,007,171 3,021,514 1,510,757 4,532,272 2,266,136 1,133,068 566,534 283,267 849,802 424,901 1,274,704 637,352 318,676 159,338 79,669 239,008 119,504 59,752 29,876 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28

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