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Atlas › Integer Profiles › Node 4,121,922

4,121,922

2 × 3 × 7 × 17 × 23 × 251
Abundant Even Composite

4,121,922 factors as 2 × 3 × 7 × 17 × 23 × 251. Its 64 positive divisors give a proper-divisor sum of 6,329,022, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 17 × 23 × 251
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,450,944
Proper Divisor Sum 6,329,022
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4121903 ← → #4121927

Radix Representation

Decimal 4121922
Binary 1111101110010101000010 (22 bits)
Octal 0o17562502
Hexadecimal 0x3EE542

Divisor Catalog (60 of 64)

1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 251 322 357 391 483 502 714 753 782 966 1,173 1,506 1,757 2,346 2,737 3,514 4,267 5,271 5,474 5,773 8,211 8,534 10,542 11,546 12,801 16,422 17,319 25,602 29,869 34,638 40,411 59,738 80,822 89,607 98,141 121,233 179,214 196,282 242,466 294,423 588,846

Collatz Trajectory (105 steps to reach 1)

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

4,121,922 2,060,961 6,182,884 3,091,442 1,545,721 4,637,164 2,318,582 1,159,291 3,477,874 1,738,937 5,216,812 2,608,406 1,304,203 3,912,610 1,956,305 5,868,916 2,934,458 1,467,229 4,401,688 2,200,844 1,100,422 550,211 1,650,634 825,317 2,475,952 1,237,976 618,988 309,494 154,747 464,242 232,121 696,364 348,182 174,091 522,274 261,137 783,412 391,706 195,853 587,560 293,780 146,890 73,445 220,336 110,168 55,084 27,542 13,771 41,314 20,657 61,972 30,986 15,493 46,480 23,240 11,620 5,810 2,905 8,716 4,358

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