λ
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3,254,020

22 × 5 × 7 × 11 × 2113
Abundant Even Composite

3,254,020 factors as 2^2 × 5 × 7 × 11 × 2113. Its 48 positive divisors give a proper-divisor sum of 5,269,628, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 2113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,523,648
Proper Divisor Sum 5,269,628
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #3253981 ← → #3254023

Radix Representation

Decimal 3254020
Binary 1100011010011100000100 (22 bits)
Octal 0o14323404
Hexadecimal 0x31A704

Divisor Catalog (48)

1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1,540 2,113 4,226 8,452 10,565 14,791 21,130 23,243 29,582 42,260 46,486 59,164 73,955 92,972 116,215 147,910 162,701 232,430 295,820 325,402 464,860 650,804 813,505 1,627,010 3,254,020

Collatz Trajectory (115 steps to reach 1)

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

3,254,020 1,627,010 813,505 2,440,516 1,220,258 610,129 1,830,388 915,194 457,597 1,372,792 686,396 343,198 171,599 514,798 257,399 772,198 386,099 1,158,298 579,149 1,737,448 868,724 434,362 217,181 651,544 325,772 162,886 81,443 244,330 122,165 366,496 183,248 91,624 45,812 22,906 11,453 34,360 17,180 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442

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