λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,772,110

8,772,110

2 × 5 × 19 × 137 × 337
Deficient Even Composite

8,772,110 factors as 2 × 5 × 19 × 137 × 337. Its 32 positive divisors give a proper-divisor sum of 8,019,730, so this integer is deficient. The Collatz stopping time is 393 steps.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 137 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,791,840
Proper Divisor Sum 8,019,730
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8772089 ← → #8772139

Radix Representation

Decimal 8772110
Binary 100001011101101000001110 (24 bits)
Octal 0o41355016
Hexadecimal 0x85DA0E

Divisor Catalog (32)

1 2 5 10 19 38 95 137 190 274 337 674 685 1,370 1,685 2,603 3,370 5,206 6,403 12,806 13,015 26,030 32,015 46,169 64,030 92,338 230,845 461,690 877,211 1,754,422 4,386,055 8,772,110

Collatz Trajectory (393 steps to reach 1)

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

8,772,110 4,386,055 13,158,166 6,579,083 19,737,250 9,868,625 29,605,876 14,802,938 7,401,469 22,204,408 11,102,204 5,551,102 2,775,551 8,326,654 4,163,327 12,489,982 6,244,991 18,734,974 9,367,487 28,102,462 14,051,231 42,153,694 21,076,847 63,230,542 31,615,271 94,845,814 47,422,907 142,268,722 71,134,361 213,403,084 106,701,542 53,350,771 160,052,314 80,026,157 240,078,472 120,039,236 60,019,618 30,009,809 90,029,428 45,014,714 22,507,357 67,522,072 33,761,036 16,880,518 8,440,259 25,320,778 12,660,389 37,981,168 18,990,584 9,495,292 4,747,646 2,373,823 7,121,470 3,560,735 10,682,206 5,341,103 16,023,310 8,011,655 24,034,966 12,017,483

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