λ
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Atlas › Integer Profiles › Node 6,974,040

6,974,040

23 × 3 × 5 × 89 × 653
Abundant Even Composite

6,974,040 factors as 2^3 × 3 × 5 × 89 × 653. Its 64 positive divisors give a proper-divisor sum of 14,215,560, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 89 × 653
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 21,189,600
Proper Divisor Sum 14,215,560
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6974017 ← → #6974053

Radix Representation

Decimal 6974040
Binary 11010100110101001011000 (23 bits)
Octal 0o32465130
Hexadecimal 0x6A6A58

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 653 712 890 1,068 1,306 1,335 1,780 1,959 2,136 2,612 2,670 3,265 3,560 3,918 5,224 5,340 6,530 7,836 9,795 10,680 13,060 15,672 19,590 26,120 39,180 58,117 78,360 116,234 174,351 232,468 290,585 348,702 464,936 581,170 697,404 871,755 1,162,340 1,394,808

Collatz Trajectory (103 steps to reach 1)

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

6,974,040 3,487,020 1,743,510 871,755 2,615,266 1,307,633 3,922,900 1,961,450 980,725 2,942,176 1,471,088 735,544 367,772 183,886 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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