4,074,165

3³ × 5 × 103 × 293

4,074,165 has digital root 9. The neighboring primes are 4074149 and 4074167; its proper-divisor sum differs from the starting integer by -810,090.

Prime Factor Structure

Factorization String 3^3 × 5 × 103 × 293

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,338,240

Proper Divisor Sum 3,264,075

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4074149 ← → #4074167

Radix Representation

Decimal	4074165
Binary	1111100010101010110101 (22 bits)
Octal	0o17425265
Hexadecimal	0x3E2AB5

Divisor Catalog (32)

1 3 5 9 15 27 45 103 135 293 309 515 879 927 1,465 1,545 2,637 2,781 4,395 4,635 7,911 13,185 13,905 30,179 39,555 90,537 150,895 271,611 452,685 814,833 1,358,055 4,074,165

Collatz Trajectory (154 steps to reach 1)

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

4,074,165 12,222,496 6,111,248 3,055,624 1,527,812 763,906 381,953 1,145,860 572,930 286,465 859,396 429,698 214,849 644,548 322,274 161,137 483,412 241,706 120,853 362,560 181,280 90,640 45,320 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121

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