8,261,427

3 × 2753809

8,261,427 factors as 3 × 2753809. Its 4 positive divisors give a proper-divisor sum of 2,753,813, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 3 × 2753809

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 11,015,240

Proper Divisor Sum 2,753,813

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8261419 ← → #8261441

Radix Representation

Decimal	8261427
Binary	11111100000111100110011 (23 bits)
Octal	0o37407463
Hexadecimal	0x7E0F33

Divisor Catalog (4)

1 3 2,753,809 8,261,427

Collatz Trajectory (106 steps to reach 1)

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

8,261,427 24,784,282 12,392,141 37,176,424 18,588,212 9,294,106 4,647,053 13,941,160 6,970,580 3,485,290 1,742,645 5,227,936 2,613,968 1,306,984 653,492 326,746 163,373 490,120 245,060 122,530 61,265 183,796 91,898 45,949 137,848 68,924 34,462 17,231 51,694 25,847 77,542 38,771 116,314 58,157 174,472 87,236 43,618 21,809 65,428 32,714 16,357 49,072 24,536 12,268 6,134 3,067 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738

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