8,327,216

2⁴ × 520451

8,327,216 has digital root 2. The neighboring primes are 8327191 and 8327227; its proper-divisor sum differs from the starting integer by -520,420.

Prime Factor Structure

Factorization String 2^4 × 520451

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 16,134,012

Proper Divisor Sum 7,806,796

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8327191 ← → #8327227

Radix Representation

Decimal	8327216
Binary	11111110001000000110000 (23 bits)
Octal	0o37610060
Hexadecimal	0x7F1030

Divisor Catalog (10)

1 2 4 8 16 520,451 1,040,902 2,081,804 4,163,608 8,327,216

Collatz Trajectory (137 steps to reach 1)

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

8,327,216 4,163,608 2,081,804 1,040,902 520,451 1,561,354 780,677 2,342,032 1,171,016 585,508 292,754 146,377 439,132 219,566 109,783 329,350 164,675 494,026 247,013 741,040 370,520 185,260 92,630 46,315 138,946 69,473 208,420 104,210 52,105 156,316 78,158 39,079 117,238 58,619 175,858 87,929 263,788 131,894 65,947 197,842 98,921 296,764 148,382 74,191 222,574 111,287 333,862 166,931 500,794 250,397 751,192 375,596 187,798 93,899 281,698 140,849 422,548 211,274 105,637 316,912

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