λ
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3,907,640

23 × 5 × 11 × 83 × 107
Abundant Even Composite

3,907,640 factors as 2^3 × 5 × 11 × 83 × 107. Its 64 positive divisors give a proper-divisor sum of 5,890,120, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 83 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,797,760
Proper Divisor Sum 5,890,120
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3907621 ← → #3907649

Radix Representation

Decimal 3907640
Binary 1110111010000000111000 (22 bits)
Octal 0o16720070
Hexadecimal 0x3BA038

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 20 22 40 44 55 83 88 107 110 166 214 220 332 415 428 440 535 664 830 856 913 1,070 1,177 1,660 1,826 2,140 2,354 3,320 3,652 4,280 4,565 4,708 5,885 7,304 8,881 9,130 9,416 11,770 17,762 18,260 23,540 35,524 36,520 44,405 47,080 71,048 88,810 97,691 177,620 195,382 355,240 390,764 488,455

Collatz Trajectory (185 steps to reach 1)

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

3,907,640 1,953,820 976,910 488,455 1,465,366 732,683 2,198,050 1,099,025 3,297,076 1,648,538 824,269 2,472,808 1,236,404 618,202 309,101 927,304 463,652 231,826 115,913 347,740 173,870 86,935 260,806 130,403 391,210 195,605 586,816 293,408 146,704 73,352 36,676 18,338 9,169 27,508 13,754 6,877 20,632 10,316 5,158 2,579 7,738 3,869 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138

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