8,412,855

3 × 5 × 11 × 67 × 761

8,412,855 factors as 3 × 5 × 11 × 67 × 761. Its 32 positive divisors give a proper-divisor sum of 6,510,153, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 67 × 761

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,923,008

Proper Divisor Sum 6,510,153

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8412853 ← → #8412857

Radix Representation

Decimal	8412855
Binary	100000000101111010110111 (24 bits)
Octal	0o40057267
Hexadecimal	0x805EB7

Divisor Catalog (32)

1 3 5 11 15 33 55 67 165 201 335 737 761 1,005 2,211 2,283 3,685 3,805 8,371 11,055 11,415 25,113 41,855 50,987 125,565 152,961 254,935 560,857 764,805 1,682,571 2,804,285 8,412,855

Collatz Trajectory (106 steps to reach 1)

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

8,412,855 25,238,566 12,619,283 37,857,850 18,928,925 56,786,776 28,393,388 14,196,694 7,098,347 21,295,042 10,647,521 31,942,564 15,971,282 7,985,641 23,956,924 11,978,462 5,989,231 17,967,694 8,983,847 26,951,542 13,475,771 40,427,314 20,213,657 60,640,972 30,320,486 15,160,243 45,480,730 22,740,365 68,221,096 34,110,548 17,055,274 8,527,637 25,582,912 12,791,456 6,395,728 3,197,864 1,598,932 799,466 399,733 1,199,200 599,600 299,800 149,900 74,950 37,475 112,426 56,213 168,640 84,320 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896

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