5,000,673

3 × 29 × 229 × 251

Starting at 5,000,673, the Collatz iteration reaches 1 after 206 steps. The first transition is 15002020; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 29 × 229 × 251

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,955,200

Proper Divisor Sum 1,954,527

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #5000657 ← → #5000687

Radix Representation

Decimal	5000673
Binary	10011000100110111100001 (23 bits)
Octal	0o23046741
Hexadecimal	0x4C4DE1

Divisor Catalog (16)

1 3 29 87 229 251 687 753 6,641 7,279 19,923 21,837 57,479 172,437 1,666,891 5,000,673

Collatz Trajectory (206 steps to reach 1)

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

5,000,673 15,002,020 7,501,010 3,750,505 11,251,516 5,625,758 2,812,879 8,438,638 4,219,319 12,657,958 6,328,979 18,986,938 9,493,469 28,480,408 14,240,204 7,120,102 3,560,051 10,680,154 5,340,077 16,020,232 8,010,116 4,005,058 2,002,529 6,007,588 3,003,794 1,501,897 4,505,692 2,252,846 1,126,423 3,379,270 1,689,635 5,068,906 2,534,453 7,603,360 3,801,680 1,900,840 950,420 475,210 237,605 712,816 356,408 178,204 89,102 44,551 133,654 66,827 200,482 100,241 300,724 150,362 75,181 225,544 112,772 56,386 28,193 84,580 42,290 21,145 63,436 31,718

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