6,943,250

2 × 5³ × 27773

Starting at 6,943,250, the Collatz iteration reaches 1 after 253 steps. The first transition is 3471625; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^3 × 27773

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,998,232

Proper Divisor Sum 6,054,982

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6943247 ← → #6943271

Radix Representation

Decimal	6943250
Binary	11010011111001000010010 (23 bits)
Octal	0o32371022
Hexadecimal	0x69F212

Divisor Catalog (16)

1 2 5 10 25 50 125 250 27,773 55,546 138,865 277,730 694,325 1,388,650 3,471,625 6,943,250

Collatz Trajectory (253 steps to reach 1)

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

6,943,250 3,471,625 10,414,876 5,207,438 2,603,719 7,811,158 3,905,579 11,716,738 5,858,369 17,575,108 8,787,554 4,393,777 13,181,332 6,590,666 3,295,333 9,886,000 4,943,000 2,471,500 1,235,750 617,875 1,853,626 926,813 2,780,440 1,390,220 695,110 347,555 1,042,666 521,333 1,564,000 782,000 391,000 195,500 97,750 48,875 146,626 73,313 219,940 109,970 54,985 164,956 82,478 41,239 123,718 61,859 185,578 92,789 278,368 139,184 69,592 34,796 17,398 8,699 26,098 13,049 39,148 19,574 9,787 29,362 14,681 44,044

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