7,430,318

2 × 7 × 269 × 1973

Starting at 7,430,318, the Collatz iteration reaches 1 after 80 steps. The first transition is 3715159; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 269 × 1973

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,791,520

Proper Divisor Sum 5,361,202

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7430299 ← → #7430329

Radix Representation

Decimal	7430318
Binary	11100010110000010101110 (23 bits)
Octal	0o34260256
Hexadecimal	0x7160AE

Divisor Catalog (16)

1 2 7 14 269 538 1,883 1,973 3,766 3,946 13,811 27,622 530,737 1,061,474 3,715,159 7,430,318

Collatz Trajectory (80 steps to reach 1)

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

7,430,318 3,715,159 11,145,478 5,572,739 16,718,218 8,359,109 25,077,328 12,538,664 6,269,332 3,134,666 1,567,333 4,702,000 2,351,000 1,175,500 587,750 293,875 881,626 440,813 1,322,440 661,220 330,610 165,305 495,916 247,958 123,979 371,938 185,969 557,908 278,954 139,477 418,432 209,216 104,608 52,304 26,152 13,076 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37

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