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Atlas › Integer Profiles › Node 6,973,470

6,973,470

2 × 32 × 5 × 7 × 11069
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 11069
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,723,040
Proper Divisor Sum 13,749,570
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6973453 ← → #6973489

Radix Representation

Decimal 6973470
Binary 11010100110100000011110 (23 bits)
Octal 0o32464036
Hexadecimal 0x6A681E

Divisor Catalog (48)

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 11,069 22,138 33,207 55,345 66,414 77,483 99,621 110,690 154,966 166,035 199,242 232,449 332,070 387,415 464,898 498,105 697,347 774,830 996,210 1,162,245 1,394,694 2,324,490 3,486,735 6,973,470

Collatz Trajectory (160 steps to reach 1)

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

6,973,470 3,486,735 10,460,206 5,230,103 15,690,310 7,845,155 23,535,466 11,767,733 35,303,200 17,651,600 8,825,800 4,412,900 2,206,450 1,103,225 3,309,676 1,654,838 827,419 2,482,258 1,241,129 3,723,388 1,861,694 930,847 2,792,542 1,396,271 4,188,814 2,094,407 6,283,222 3,141,611 9,424,834 4,712,417 14,137,252 7,068,626 3,534,313 10,602,940 5,301,470 2,650,735 7,952,206 3,976,103 11,928,310 5,964,155 17,892,466 8,946,233 26,838,700 13,419,350 6,709,675 20,129,026 10,064,513 30,193,540 15,096,770 7,548,385 22,645,156 11,322,578 5,661,289 16,983,868 8,491,934 4,245,967 12,737,902 6,368,951 19,106,854 9,553,427

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