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Atlas › Integer Profiles › Node 3,921,086

3,921,086

2 × 13 × 23 × 79 × 83
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 23 × 79 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,773,760
Proper Divisor Sum 2,852,674
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3921079 ← → #3921089

Radix Representation

Decimal 3921086
Binary 1110111101010010111110 (22 bits)
Octal 0o16752276
Hexadecimal 0x3BD4BE

Divisor Catalog (32)

1 2 13 23 26 46 79 83 158 166 299 598 1,027 1,079 1,817 1,909 2,054 2,158 3,634 3,818 6,557 13,114 23,621 24,817 47,242 49,634 85,241 150,811 170,482 301,622 1,960,543 3,921,086

Collatz Trajectory (216 steps to reach 1)

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

3,921,086 1,960,543 5,881,630 2,940,815 8,822,446 4,411,223 13,233,670 6,616,835 19,850,506 9,925,253 29,775,760 14,887,880 7,443,940 3,721,970 1,860,985 5,582,956 2,791,478 1,395,739 4,187,218 2,093,609 6,280,828 3,140,414 1,570,207 4,710,622 2,355,311 7,065,934 3,532,967 10,598,902 5,299,451 15,898,354 7,949,177 23,847,532 11,923,766 5,961,883 17,885,650 8,942,825 26,828,476 13,414,238 6,707,119 20,121,358 10,060,679 30,182,038 15,091,019 45,273,058 22,636,529 67,909,588 33,954,794 16,977,397 50,932,192 25,466,096 12,733,048 6,366,524 3,183,262 1,591,631 4,774,894 2,387,447 7,162,342 3,581,171 10,743,514 5,371,757

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