λ
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Atlas › Integer Profiles › Node 2,018,568

2,018,568

23 × 3 × 151 × 557
Abundant Even Composite

2,018,568 factors as 2^3 × 3 × 151 × 557. Its 32 positive divisors give a proper-divisor sum of 3,070,392, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 151 × 557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,088,960
Proper Divisor Sum 3,070,392
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2018561 ← → #2018573

Radix Representation

Decimal 2018568
Binary 111101100110100001000 (21 bits)
Octal 0o7546410
Hexadecimal 0x1ECD08

Divisor Catalog (32)

1 2 3 4 6 8 12 24 151 302 453 557 604 906 1,114 1,208 1,671 1,812 2,228 3,342 3,624 4,456 6,684 13,368 84,107 168,214 252,321 336,428 504,642 672,856 1,009,284 2,018,568

Collatz Trajectory (91 steps to reach 1)

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

2,018,568 1,009,284 504,642 252,321 756,964 378,482 189,241 567,724 283,862 141,931 425,794 212,897 638,692 319,346 159,673 479,020 239,510 119,755 359,266 179,633 538,900 269,450 134,725 404,176 202,088 101,044 50,522 25,261 75,784 37,892 18,946 9,473 28,420 14,210 7,105 21,316 10,658 5,329 15,988 7,994 3,997 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356

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