λ
Match Zalai

3,019,266

2 × 32 × 59 × 2843
Abundant Even Composite

3,019,266 factors as 2 × 3^2 × 59 × 2843. Its 24 positive divisors give a proper-divisor sum of 3,635,694, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 59 × 2843
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,654,960
Proper Divisor Sum 3,635,694
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3019259 ← → #3019273

Radix Representation

Decimal 3019266
Binary 1011100001001000000010 (22 bits)
Octal 0o13411002
Hexadecimal 0x2E1202

Divisor Catalog (24)

1 2 3 6 9 18 59 118 177 354 531 1,062 2,843 5,686 8,529 17,058 25,587 51,174 167,737 335,474 503,211 1,006,422 1,509,633 3,019,266

Collatz Trajectory (89 steps to reach 1)

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

3,019,266 1,509,633 4,528,900 2,264,450 1,132,225 3,396,676 1,698,338 849,169 2,547,508 1,273,754 636,877 1,910,632 955,316 477,658 238,829 716,488 358,244 179,122 89,561 268,684 134,342 67,171 201,514 100,757 302,272 151,136 75,568 37,784 18,892 9,446 4,723 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533

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