5,828,345

5 × 19² × 3229

Starting at 5,828,345, the Collatz iteration reaches 1 after 183 steps. The first transition is 17485036; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5 × 19^2 × 3229

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,383,780

Proper Divisor Sum 1,555,435

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #5828309 ← → #5828353

Radix Representation

Decimal	5828345
Binary	10110001110111011111001 (23 bits)
Octal	0o26167371
Hexadecimal	0x58EEF9

Divisor Catalog (12)

1 5 19 95 361 1,805 3,229 16,145 61,351 306,755 1,165,669 5,828,345

Collatz Trajectory (183 steps to reach 1)

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

5,828,345 17,485,036 8,742,518 4,371,259 13,113,778 6,556,889 19,670,668 9,835,334 4,917,667 14,753,002 7,376,501 22,129,504 11,064,752 5,532,376 2,766,188 1,383,094 691,547 2,074,642 1,037,321 3,111,964 1,555,982 777,991 2,333,974 1,166,987 3,500,962 1,750,481 5,251,444 2,625,722 1,312,861 3,938,584 1,969,292 984,646 492,323 1,476,970 738,485 2,215,456 1,107,728 553,864 276,932 138,466 69,233 207,700 103,850 51,925 155,776 77,888 38,944 19,472 9,736 4,868 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028

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