8,264,014

2 × 11 × 29 × 12953

8,264,014 factors as 2 × 11 × 29 × 12953. Its 16 positive divisors give a proper-divisor sum of 5,726,306, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 11 × 29 × 12953

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,990,320

Proper Divisor Sum 5,726,306

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8263979 ← → #8264027

Radix Representation

Decimal	8264014
Binary	11111100001100101001110 (23 bits)
Octal	0o37414516
Hexadecimal	0x7E194E

Divisor Catalog (16)

1 2 11 22 29 58 319 638 12,953 25,906 142,483 284,966 375,637 751,274 4,132,007 8,264,014

Collatz Trajectory (168 steps to reach 1)

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

8,264,014 4,132,007 12,396,022 6,198,011 18,594,034 9,297,017 27,891,052 13,945,526 6,972,763 20,918,290 10,459,145 31,377,436 15,688,718 7,844,359 23,533,078 11,766,539 35,299,618 17,649,809 52,949,428 26,474,714 13,237,357 39,712,072 19,856,036 9,928,018 4,964,009 14,892,028 7,446,014 3,723,007 11,169,022 5,584,511 16,753,534 8,376,767 25,130,302 12,565,151 37,695,454 18,847,727 56,543,182 28,271,591 84,814,774 42,407,387 127,222,162 63,611,081 190,833,244 95,416,622 47,708,311 143,124,934 71,562,467 214,687,402 107,343,701 322,031,104 161,015,552 80,507,776 40,253,888 20,126,944 10,063,472 5,031,736 2,515,868 1,257,934 628,967 1,886,902

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