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Atlas › Integer Profiles › Node 4,122,118

4,122,118

2 × 7 × 11 × 13 × 29 × 71
Abundant Even Composite

4,122,118 factors as 2 × 7 × 11 × 13 × 29 × 71. Its 64 positive divisors give a proper-divisor sum of 4,587,002, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 13 × 29 × 71
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,709,120
Proper Divisor Sum 4,587,002
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4122103 ← → #4122119

Radix Representation

Decimal 4122118
Binary 1111101110011000000110 (22 bits)
Octal 0o17563006
Hexadecimal 0x3EE606

Divisor Catalog (60 of 64)

1 2 7 11 13 14 22 26 29 58 71 77 91 142 143 154 182 203 286 319 377 406 497 638 754 781 923 994 1,001 1,562 1,846 2,002 2,059 2,233 2,639 4,118 4,147 4,466 5,278 5,467 6,461 8,294 10,153 10,934 12,922 14,413 20,306 22,649 26,767 28,826 29,029 45,298 53,534 58,058 71,071 142,142 158,543 187,369 294,437 317,086

Collatz Trajectory (92 steps to reach 1)

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

4,122,118 2,061,059 6,183,178 3,091,589 9,274,768 4,637,384 2,318,692 1,159,346 579,673 1,739,020 869,510 434,755 1,304,266 652,133 1,956,400 978,200 489,100 244,550 122,275 366,826 183,413 550,240 275,120 137,560 68,780 34,390 17,195 51,586 25,793 77,380 38,690 19,345 58,036 29,018 14,509 43,528 21,764 10,882 5,441 16,324 8,162 4,081 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372

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