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4,124,142

2 × 33 × 11 × 53 × 131
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 53 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,264,320
Proper Divisor Sum 6,140,178
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4124137 ← → #4124167

Radix Representation

Decimal 4124142
Binary 1111101110110111101110 (22 bits)
Octal 0o17566756
Hexadecimal 0x3EEDEE

Divisor Catalog (60 of 64)

1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 131 159 198 262 297 318 393 477 583 594 786 954 1,166 1,179 1,431 1,441 1,749 2,358 2,862 2,882 3,498 3,537 4,323 5,247 6,943 7,074 8,646 10,494 12,969 13,886 15,741 20,829 25,938 31,482 38,907 41,658 62,487 76,373 77,814 124,974 152,746 187,461 229,119 374,922 458,238

Collatz Trajectory (229 steps to reach 1)

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

4,124,142 2,062,071 6,186,214 3,093,107 9,279,322 4,639,661 13,918,984 6,959,492 3,479,746 1,739,873 5,219,620 2,609,810 1,304,905 3,914,716 1,957,358 978,679 2,936,038 1,468,019 4,404,058 2,202,029 6,606,088 3,303,044 1,651,522 825,761 2,477,284 1,238,642 619,321 1,857,964 928,982 464,491 1,393,474 696,737 2,090,212 1,045,106 522,553 1,567,660 783,830 391,915 1,175,746 587,873 1,763,620 881,810 440,905 1,322,716 661,358 330,679 992,038 496,019 1,488,058 744,029 2,232,088 1,116,044 558,022 279,011 837,034 418,517 1,255,552 627,776 313,888 156,944

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