λ
Sequence Observatory

6,847,293

3 × 2282431
Deficient Odd Composite

Starting at 6,847,293, the Collatz iteration reaches 1 after 266 steps. The first transition is 20541880; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2282431
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,129,728
Proper Divisor Sum 2,282,435
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6847283 ← → #6847301

Radix Representation

Decimal 6847293
Binary 11010000111101100111101 (23 bits)
Octal 0o32075475
Hexadecimal 0x687B3D

Divisor Catalog (4)

1 3 2,282,431 6,847,293

Collatz Trajectory (266 steps to reach 1)

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

6,847,293 20,541,880 10,270,940 5,135,470 2,567,735 7,703,206 3,851,603 11,554,810 5,777,405 17,332,216 8,666,108 4,333,054 2,166,527 6,499,582 3,249,791 9,749,374 4,874,687 14,624,062 7,312,031 21,936,094 10,968,047 32,904,142 16,452,071 49,356,214 24,678,107 74,034,322 37,017,161 111,051,484 55,525,742 27,762,871 83,288,614 41,644,307 124,932,922 62,466,461 187,399,384 93,699,692 46,849,846 23,424,923 70,274,770 35,137,385 105,412,156 52,706,078 26,353,039 79,059,118 39,529,559 118,588,678 59,294,339 177,883,018 88,941,509 266,824,528 133,412,264 66,706,132 33,353,066 16,676,533 50,029,600 25,014,800 12,507,400 6,253,700 3,126,850 1,563,425

More profiles

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