6,974,004

2² × 3 × 601 × 967

6,974,004 has digital root 3. The neighboring primes are 6973999 and 6974017; its proper-divisor sum differs from the starting integer by 2,368,600.

Prime Factor Structure

Factorization String 2^2 × 3 × 601 × 967

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,316,608

Proper Divisor Sum 9,342,604

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6973999 ← → #6974017

Radix Representation

Decimal	6974004
Binary	11010100110101000110100 (23 bits)
Octal	0o32465064
Hexadecimal	0x6A6A34

Divisor Catalog (24)

1 2 3 4 6 12 601 967 1,202 1,803 1,934 2,404 2,901 3,606 3,868 5,802 7,212 11,604 581,167 1,162,334 1,743,501 2,324,668 3,487,002 6,974,004

Collatz Trajectory (103 steps to reach 1)

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

6,974,004 3,487,002 1,743,501 5,230,504 2,615,252 1,307,626 653,813 1,961,440 980,720 490,360 245,180 122,590 61,295 183,886 91,943 275,830 137,915 413,746 206,873 620,620 310,310 155,155 465,466 232,733 698,200 349,100 174,550 87,275 261,826 130,913 392,740 196,370 98,185 294,556 147,278 73,639 220,918 110,459 331,378 165,689 497,068 248,534 124,267 372,802 186,401 559,204 279,602 139,801 419,404 209,702 104,851 314,554 157,277 471,832 235,916 117,958 58,979 176,938 88,469 265,408

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