4,036,122

2 × 3³ × 41 × 1823

4,036,122 has digital root 9. The neighboring primes are 4036117 and 4036139; its proper-divisor sum differs from the starting integer by 1,120,716.

Prime Factor Structure

Factorization String 2 × 3^3 × 41 × 1823

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,192,960

Proper Divisor Sum 5,156,838

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4036117 ← → #4036139

Radix Representation

Decimal	4036122
Binary	1111011001011000011010 (22 bits)
Octal	0o17313032
Hexadecimal	0x3D961A

Divisor Catalog (32)

1 2 3 6 9 18 27 41 54 82 123 246 369 738 1,107 1,823 2,214 3,646 5,469 10,938 16,407 32,814 49,221 74,743 98,442 149,486 224,229 448,458 672,687 1,345,374 2,018,061 4,036,122

Collatz Trajectory (185 steps to reach 1)

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

4,036,122 2,018,061 6,054,184 3,027,092 1,513,546 756,773 2,270,320 1,135,160 567,580 283,790 141,895 425,686 212,843 638,530 319,265 957,796 478,898 239,449 718,348 359,174 179,587 538,762 269,381 808,144 404,072 202,036 101,018 50,509 151,528 75,764 37,882 18,941 56,824 28,412 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604

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