7,981,766

2 × 13 × 306991

Starting at 7,981,766, the Collatz iteration reaches 1 after 230 steps. The first transition is 3990883; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 306991

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,893,664

Proper Divisor Sum 4,911,898

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7981717 ← → #7981783

Radix Representation

Decimal	7981766
Binary	11110011100101011000110 (23 bits)
Octal	0o36345306
Hexadecimal	0x79CAC6

Divisor Catalog (8)

1 2 13 26 306,991 613,982 3,990,883 7,981,766

Collatz Trajectory (230 steps to reach 1)

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

7,981,766 3,990,883 11,972,650 5,986,325 17,958,976 8,979,488 4,489,744 2,244,872 1,122,436 561,218 280,609 841,828 420,914 210,457 631,372 315,686 157,843 473,530 236,765 710,296 355,148 177,574 88,787 266,362 133,181 399,544 199,772 99,886 49,943 149,830 74,915 224,746 112,373 337,120 168,560 84,280 42,140 21,070 10,535 31,606 15,803 47,410 23,705 71,116 35,558 17,779 53,338 26,669 80,008 40,004 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440

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