8,367,801

3 × 13 × 214559

8,367,801 has digital root 6. The neighboring primes are 8367773 and 8367803; its proper-divisor sum differs from the starting integer by -4,720,242.

Prime Factor Structure

Factorization String 3 × 13 × 214559

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,015,360

Proper Divisor Sum 3,647,559

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8367773 ← → #8367803

Radix Representation

Decimal	8367801
Binary	11111111010111010111001 (23 bits)
Octal	0o37727271
Hexadecimal	0x7FAEB9

Divisor Catalog (8)

1 3 13 39 214,559 643,677 2,789,267 8,367,801

Collatz Trajectory (137 steps to reach 1)

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

8,367,801 25,103,404 12,551,702 6,275,851 18,827,554 9,413,777 28,241,332 14,120,666 7,060,333 21,181,000 10,590,500 5,295,250 2,647,625 7,942,876 3,971,438 1,985,719 5,957,158 2,978,579 8,935,738 4,467,869 13,403,608 6,701,804 3,350,902 1,675,451 5,026,354 2,513,177 7,539,532 3,769,766 1,884,883 5,654,650 2,827,325 8,481,976 4,240,988 2,120,494 1,060,247 3,180,742 1,590,371 4,771,114 2,385,557 7,156,672 3,578,336 1,789,168 894,584 447,292 223,646 111,823 335,470 167,735 503,206 251,603 754,810 377,405 1,132,216 566,108 283,054 141,527 424,582 212,291 636,874 318,437

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