8,118,409

13 × 727 × 859

8,118,409 has digital root 4. The neighboring primes are 8118391 and 8118413; its proper-divisor sum differs from the starting integer by -7,471,698.

Prime Factor Structure

Factorization String 13 × 727 × 859

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,765,120

Proper Divisor Sum 646,711

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8118391 ← → #8118413

Radix Representation

Decimal	8118409
Binary	11110111110000010001001 (23 bits)
Octal	0o36760211
Hexadecimal	0x7BE089

Divisor Catalog (8)

1 13 727 859 9,451 11,167 624,493 8,118,409

Collatz Trajectory (168 steps to reach 1)

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

8,118,409 24,355,228 12,177,614 6,088,807 18,266,422 9,133,211 27,399,634 13,699,817 41,099,452 20,549,726 10,274,863 30,824,590 15,412,295 46,236,886 23,118,443 69,355,330 34,677,665 104,032,996 52,016,498 26,008,249 78,024,748 39,012,374 19,506,187 58,518,562 29,259,281 87,777,844 43,888,922 21,944,461 65,833,384 32,916,692 16,458,346 8,229,173 24,687,520 12,343,760 6,171,880 3,085,940 1,542,970 771,485 2,314,456 1,157,228 578,614 289,307 867,922 433,961 1,301,884 650,942 325,471 976,414 488,207 1,464,622 732,311 2,196,934 1,098,467 3,295,402 1,647,701 4,943,104 2,471,552 1,235,776 617,888 308,944

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