5,825,368

2³ × 47 × 15493

Starting at 5,825,368, the Collatz iteration reaches 1 after 139 steps. The first transition is 2912684; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 47 × 15493

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,155,680

Proper Divisor Sum 5,330,312

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #5825359 ← → #5825399

Radix Representation

Decimal	5825368
Binary	10110001110001101011000 (23 bits)
Octal	0o26161530
Hexadecimal	0x58E358

Divisor Catalog (16)

1 2 4 8 47 94 188 376 15,493 30,986 61,972 123,944 728,171 1,456,342 2,912,684 5,825,368

Collatz Trajectory (139 steps to reach 1)

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

5,825,368 2,912,684 1,456,342 728,171 2,184,514 1,092,257 3,276,772 1,638,386 819,193 2,457,580 1,228,790 614,395 1,843,186 921,593 2,764,780 1,382,390 691,195 2,073,586 1,036,793 3,110,380 1,555,190 777,595 2,332,786 1,166,393 3,499,180 1,749,590 874,795 2,624,386 1,312,193 3,936,580 1,968,290 984,145 2,952,436 1,476,218 738,109 2,214,328 1,107,164 553,582 276,791 830,374 415,187 1,245,562 622,781 1,868,344 934,172 467,086 233,543 700,630 350,315 1,050,946 525,473 1,576,420 788,210 394,105 1,182,316 591,158 295,579 886,738 443,369 1,330,108

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