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Atlas › Integer Profiles › Node 6,973,260

6,973,260

22 × 3 × 5 × 7 × 16603
Abundant Even Composite

6,973,260 factors as 2^2 × 3 × 5 × 7 × 16603. Its 48 positive divisors give a proper-divisor sum of 15,342,516, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 16603
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,315,776
Proper Divisor Sum 15,342,516
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6973259 ← → #6973271

Radix Representation

Decimal 6973260
Binary 11010100110011101001100 (23 bits)
Octal 0o32463514
Hexadecimal 0x6A674C

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 16,603 33,206 49,809 66,412 83,015 99,618 116,221 166,030 199,236 232,442 249,045 332,060 348,663 464,884 498,090 581,105 697,326 996,180 1,162,210 1,394,652 1,743,315 2,324,420 3,486,630 6,973,260

Collatz Trajectory (191 steps to reach 1)

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

6,973,260 3,486,630 1,743,315 5,229,946 2,614,973 7,844,920 3,922,460 1,961,230 980,615 2,941,846 1,470,923 4,412,770 2,206,385 6,619,156 3,309,578 1,654,789 4,964,368 2,482,184 1,241,092 620,546 310,273 930,820 465,410 232,705 698,116 349,058 174,529 523,588 261,794 130,897 392,692 196,346 98,173 294,520 147,260 73,630 36,815 110,446 55,223 165,670 82,835 248,506 124,253 372,760 186,380 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744 7,372

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