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Atlas › Integer Profiles › Node 7,166,394

7,166,394

2 × 34 × 31 × 1427
Abundant Even Composite

7,166,394 factors as 2 × 3^4 × 31 × 1427. Its 40 positive divisors give a proper-divisor sum of 9,421,254, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 31 × 1427
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 16,587,648
Proper Divisor Sum 9,421,254
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7166389 ← → #7166407

Radix Representation

Decimal 7166394
Binary 11011010101100110111010 (23 bits)
Octal 0o33254672
Hexadecimal 0x6D59BA

Divisor Catalog (40)

1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1,427 1,674 2,511 2,854 4,281 5,022 8,562 12,843 25,686 38,529 44,237 77,058 88,474 115,587 132,711 231,174 265,422 398,133 796,266 1,194,399 2,388,798 3,583,197 7,166,394

Collatz Trajectory (98 steps to reach 1)

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

7,166,394 3,583,197 10,749,592 5,374,796 2,687,398 1,343,699 4,031,098 2,015,549 6,046,648 3,023,324 1,511,662 755,831 2,267,494 1,133,747 3,401,242 1,700,621 5,101,864 2,550,932 1,275,466 637,733 1,913,200 956,600 478,300 239,150 119,575 358,726 179,363 538,090 269,045 807,136 403,568 201,784 100,892 50,446 25,223 75,670 37,835 113,506 56,753 170,260 85,130 42,565 127,696 63,848 31,924 15,962 7,981 23,944 11,972 5,986 2,993 8,980 4,490 2,245 6,736 3,368 1,684 842 421 1,264

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