λ
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3,935,136

25 × 3 × 179 × 229
Abundant Even Composite

3,935,136 factors as 2^5 × 3 × 179 × 229. Its 48 positive divisors give a proper-divisor sum of 6,497,664, so this integer is abundant. The Collatz stopping time is 48 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 179 × 229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,432,800
Proper Divisor Sum 6,497,664
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3935119 ← → #3935153

Radix Representation

Decimal 3935136
Binary 1111000000101110100000 (22 bits)
Octal 0o17005640
Hexadecimal 0x3C0BA0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 96 179 229 358 458 537 687 716 916 1,074 1,374 1,432 1,832 2,148 2,748 2,864 3,664 4,296 5,496 5,728 7,328 8,592 10,992 17,184 21,984 40,991 81,982 122,973 163,964 245,946 327,928 491,892 655,856 983,784 1,311,712 1,967,568 3,935,136

Collatz Trajectory (48 steps to reach 1)

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

3,935,136 1,967,568 983,784 491,892 245,946 122,973 368,920 184,460 92,230 46,115 138,346 69,173 207,520 103,760 51,880 25,940 12,970 6,485 19,456 9,728 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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