7,004,404

2² × 11 × 159191

7,004,404 has digital root 1. The neighboring primes are 7004401 and 7004429; its proper-divisor sum differs from the starting integer by -636,680.

Prime Factor Structure

Factorization String 2^2 × 11 × 159191

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,372,128

Proper Divisor Sum 6,367,724

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #7004401 ← → #7004429

Radix Representation

Decimal	7004404
Binary	11010101110000011110100 (23 bits)
Octal	0o32560364
Hexadecimal	0x6AE0F4

Divisor Catalog (12)

1 2 4 11 22 44 159,191 318,382 636,764 1,751,101 3,502,202 7,004,404

Collatz Trajectory (191 steps to reach 1)

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

7,004,404 3,502,202 1,751,101 5,253,304 2,626,652 1,313,326 656,663 1,969,990 984,995 2,954,986 1,477,493 4,432,480 2,216,240 1,108,120 554,060 277,030 138,515 415,546 207,773 623,320 311,660 155,830 77,915 233,746 116,873 350,620 175,310 87,655 262,966 131,483 394,450 197,225 591,676 295,838 147,919 443,758 221,879 665,638 332,819 998,458 499,229 1,497,688 748,844 374,422 187,211 561,634 280,817 842,452 421,226 210,613 631,840 315,920 157,960 78,980 39,490 19,745 59,236 29,618 14,809 44,428

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