7,896,732

2² × 3 × 439 × 1499

Starting at 7,896,732, the Collatz iteration reaches 1 after 173 steps. The first transition is 3948366; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 439 × 1499

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,480,000

Proper Divisor Sum 10,583,268

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7896731 ← → #7896743

Radix Representation

Decimal	7896732
Binary	11110000111111010011100 (23 bits)
Octal	0o36077234
Hexadecimal	0x787E9C

Divisor Catalog (24)

1 2 3 4 6 12 439 878 1,317 1,499 1,756 2,634 2,998 4,497 5,268 5,996 8,994 17,988 658,061 1,316,122 1,974,183 2,632,244 3,948,366 7,896,732

Collatz Trajectory (173 steps to reach 1)

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

7,896,732 3,948,366 1,974,183 5,922,550 2,961,275 8,883,826 4,441,913 13,325,740 6,662,870 3,331,435 9,994,306 4,997,153 14,991,460 7,495,730 3,747,865 11,243,596 5,621,798 2,810,899 8,432,698 4,216,349 12,649,048 6,324,524 3,162,262 1,581,131 4,743,394 2,371,697 7,115,092 3,557,546 1,778,773 5,336,320 2,668,160 1,334,080 667,040 333,520 166,760 83,380 41,690 20,845 62,536 31,268 15,634 7,817 23,452 11,726 5,863 17,590 8,795 26,386 13,193 39,580 19,790 9,895 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098

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