3,828,006

2 × 3³ × 7 × 13 × 19 × 41

3,828,006 has digital root 9. The neighboring primes are 3827981 and 3828007; its proper-divisor sum differs from the starting integer by 3,633,588.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 13 × 19 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 11,289,600

Proper Divisor Sum 7,461,594

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3827981 ← → #3828007

Radix Representation

Decimal	3828006
Binary	1110100110100100100110 (22 bits)
Octal	0o16464446
Hexadecimal	0x3A6926

Divisor Catalog (60 of 128)

1 2 3 6 7 9 13 14 18 19 21 26 27 38 39 41 42 54 57 63 78 82 91 114 117 123 126 133 171 182 189 234 246 247 266 273 287 342 351 369 378 399 494 513 533 546 574 702 738 741 779 798 819 861 1,026 1,066 1,107 1,197 1,482 1,558

Collatz Trajectory (172 steps to reach 1)

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

3,828,006 1,914,003 5,742,010 2,871,005 8,613,016 4,306,508 2,153,254 1,076,627 3,229,882 1,614,941 4,844,824 2,422,412 1,211,206 605,603 1,816,810 908,405 2,725,216 1,362,608 681,304 340,652 170,326 85,163 255,490 127,745 383,236 191,618 95,809 287,428 143,714 71,857 215,572 107,786 53,893 161,680 80,840 40,420 20,210 10,105 30,316 15,158 7,579 22,738 11,369 34,108 17,054 8,527 25,582 12,791 38,374 19,187 57,562 28,781 86,344 43,172 21,586 10,793 32,380 16,190 8,095 24,286

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