8,262,208

2⁶ × 129097

8,262,208 has digital root 1. The neighboring primes are 8262193 and 8262227; its proper-divisor sum differs from the starting integer by -128,970.

Prime Factor Structure

Factorization String 2^6 × 129097

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 16,395,446

Proper Divisor Sum 8,133,238

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8262193 ← → #8262227

Radix Representation

Decimal	8262208
Binary	11111100001001001000000 (23 bits)
Octal	0o37411100
Hexadecimal	0x7E1240

Divisor Catalog (14)

1 2 4 8 16 32 64 129,097 258,194 516,388 1,032,776 2,065,552 4,131,104 8,262,208

Collatz Trajectory (93 steps to reach 1)

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

8,262,208 4,131,104 2,065,552 1,032,776 516,388 258,194 129,097 387,292 193,646 96,823 290,470 145,235 435,706 217,853 653,560 326,780 163,390 81,695 245,086 122,543 367,630 183,815 551,446 275,723 827,170 413,585 1,240,756 620,378 310,189 930,568 465,284 232,642 116,321 348,964 174,482 87,241 261,724 130,862 65,431 196,294 98,147 294,442 147,221 441,664 220,832 110,416 55,208 27,604 13,802 6,901 20,704 10,352 5,176 2,588 1,294 647 1,942 971 2,914 1,457

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