λ
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3,920,136

23 × 3 × 11 × 31 × 479
Abundant Even Composite

3,920,136 factors as 2^3 × 3 × 11 × 31 × 479. Its 64 positive divisors give a proper-divisor sum of 7,139,064, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 31 × 479
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,059,200
Proper Divisor Sum 7,139,064
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3920131 ← → #3920141

Radix Representation

Decimal 3920136
Binary 1110111101000100001000 (22 bits)
Octal 0o16750410
Hexadecimal 0x3BD108

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 479 682 744 958 1,023 1,364 1,437 1,916 2,046 2,728 2,874 3,832 4,092 5,269 5,748 8,184 10,538 11,496 14,849 15,807 21,076 29,698 31,614 42,152 44,547 59,396 63,228 89,094 118,792 126,456 163,339 178,188 326,678 356,376 490,017 653,356

Collatz Trajectory (185 steps to reach 1)

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

3,920,136 1,960,068 980,034 490,017 1,470,052 735,026 367,513 1,102,540 551,270 275,635 826,906 413,453 1,240,360 620,180 310,090 155,045 465,136 232,568 116,284 58,142 29,071 87,214 43,607 130,822 65,411 196,234 98,117 294,352 147,176 73,588 36,794 18,397 55,192 27,596 13,798 6,899 20,698 10,349 31,048 15,524 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691

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