λ
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2,210,064

24 × 3 × 41 × 1123
Abundant Even Composite

2,210,064 factors as 2^4 × 3 × 41 × 1123. Its 40 positive divisors give a proper-divisor sum of 3,643,728, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 41 × 1123
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,853,792
Proper Divisor Sum 3,643,728
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2210059 ← → #2210069

Radix Representation

Decimal 2210064
Binary 1000011011100100010000 (22 bits)
Octal 0o10334420
Hexadecimal 0x21B910

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1,123 1,968 2,246 3,369 4,492 6,738 8,984 13,476 17,968 26,952 46,043 53,904 92,086 138,129 184,172 276,258 368,344 552,516 736,688 1,105,032 2,210,064

Collatz Trajectory (135 steps to reach 1)

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

2,210,064 1,105,032 552,516 276,258 138,129 414,388 207,194 103,597 310,792 155,396 77,698 38,849 116,548 58,274 29,137 87,412 43,706 21,853 65,560 32,780 16,390 8,195 24,586 12,293 36,880 18,440 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395

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