5,626,419

3 × 449 × 4177

Starting at 5,626,419, the Collatz iteration reaches 1 after 183 steps. The first transition is 16879258; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 449 × 4177

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,520,400

Proper Divisor Sum 1,893,981

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5626399 ← → #5626429

Radix Representation

Decimal	5626419
Binary	10101011101101000110011 (23 bits)
Octal	0o25355063
Hexadecimal	0x55DA33

Divisor Catalog (8)

1 3 449 1,347 4,177 12,531 1,875,473 5,626,419

Collatz Trajectory (183 steps to reach 1)

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

5,626,419 16,879,258 8,439,629 25,318,888 12,659,444 6,329,722 3,164,861 9,494,584 4,747,292 2,373,646 1,186,823 3,560,470 1,780,235 5,340,706 2,670,353 8,011,060 4,005,530 2,002,765 6,008,296 3,004,148 1,502,074 751,037 2,253,112 1,126,556 563,278 281,639 844,918 422,459 1,267,378 633,689 1,901,068 950,534 475,267 1,425,802 712,901 2,138,704 1,069,352 534,676 267,338 133,669 401,008 200,504 100,252 50,126 25,063 75,190 37,595 112,786 56,393 169,180 84,590 42,295 126,886 63,443 190,330 95,165 285,496 142,748 71,374 35,687

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