λ
Sequence Observatory

8,271,359

331 × 24989
Deficient Odd Composite

Starting at 8,271,359, the Collatz iteration reaches 1 after 168 steps. The first transition is 24814078; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 331 × 24989
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,296,680
Proper Divisor Sum 25,321
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8271331 ← → #8271371

Radix Representation

Decimal 8271359
Binary 11111100011010111111111 (23 bits)
Octal 0o37432777
Hexadecimal 0x7E35FF

Divisor Catalog (4)

1 331 24,989 8,271,359

Collatz Trajectory (168 steps to reach 1)

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

8,271,359 24,814,078 12,407,039 37,221,118 18,610,559 55,831,678 27,915,839 83,747,518 41,873,759 125,621,278 62,810,639 188,431,918 94,215,959 282,647,878 141,323,939 423,971,818 211,985,909 635,957,728 317,978,864 158,989,432 79,494,716 39,747,358 19,873,679 59,621,038 29,810,519 89,431,558 44,715,779 134,147,338 67,073,669 201,221,008 100,610,504 50,305,252 25,152,626 12,576,313 37,728,940 18,864,470 9,432,235 28,296,706 14,148,353 42,445,060 21,222,530 10,611,265 31,833,796 15,916,898 7,958,449 23,875,348 11,937,674 5,968,837 17,906,512 8,953,256 4,476,628 2,238,314 1,119,157 3,357,472 1,678,736 839,368 419,684 209,842 104,921 314,764

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