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Atlas › Integer Profiles › Node 3,023,082

3,023,082

2 × 34 × 18661
Abundant Even Composite

3,023,082 factors as 2 × 3^4 × 18661. Its 20 positive divisors give a proper-divisor sum of 3,751,224, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 18661
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 6,774,306
Proper Divisor Sum 3,751,224
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3023081 ← → #3023113

Radix Representation

Decimal 3023082
Binary 1011100010000011101010 (22 bits)
Octal 0o13420352
Hexadecimal 0x2E20EA

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 18,661 37,322 55,983 111,966 167,949 335,898 503,847 1,007,694 1,511,541 3,023,082

Collatz Trajectory (89 steps to reach 1)

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

3,023,082 1,511,541 4,534,624 2,267,312 1,133,656 566,828 283,414 141,707 425,122 212,561 637,684 318,842 159,421 478,264 239,132 119,566 59,783 179,350 89,675 269,026 134,513 403,540 201,770 100,885 302,656 151,328 75,664 37,832 18,916 9,458 4,729 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538

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