8,271,656

2³ × 17 × 60821

8,271,656 factors as 2^3 × 17 × 60821. Its 16 positive divisors give a proper-divisor sum of 8,150,284, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 60821

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,421,940

Proper Divisor Sum 8,150,284

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8271647 ← → #8271721

Radix Representation

Decimal	8271656
Binary	11111100011011100101000 (23 bits)
Octal	0o37433450
Hexadecimal	0x7E3728

Divisor Catalog (16)

1 2 4 8 17 34 68 136 60,821 121,642 243,284 486,568 1,033,957 2,067,914 4,135,828 8,271,656

Collatz Trajectory (199 steps to reach 1)

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

8,271,656 4,135,828 2,067,914 1,033,957 3,101,872 1,550,936 775,468 387,734 193,867 581,602 290,801 872,404 436,202 218,101 654,304 327,152 163,576 81,788 40,894 20,447 61,342 30,671 92,014 46,007 138,022 69,011 207,034 103,517 310,552 155,276 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487

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