λ
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Atlas › Integer Profiles › Node 3,900,680

3,900,680

23 × 5 × 7 × 13931
Abundant Even Composite

3,900,680 factors as 2^3 × 5 × 7 × 13931. Its 32 positive divisors give a proper-divisor sum of 6,130,360, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 13931
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,031,040
Proper Divisor Sum 6,130,360
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3900679 ← → #3900691

Radix Representation

Decimal 3900680
Binary 1110111000010100001000 (22 bits)
Octal 0o16702410
Hexadecimal 0x3B8508

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 13,931 27,862 55,724 69,655 97,517 111,448 139,310 195,034 278,620 390,068 487,585 557,240 780,136 975,170 1,950,340 3,900,680

Collatz Trajectory (123 steps to reach 1)

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

3,900,680 1,950,340 975,170 487,585 1,462,756 731,378 365,689 1,097,068 548,534 274,267 822,802 411,401 1,234,204 617,102 308,551 925,654 462,827 1,388,482 694,241 2,082,724 1,041,362 520,681 1,562,044 781,022 390,511 1,171,534 585,767 1,757,302 878,651 2,635,954 1,317,977 3,953,932 1,976,966 988,483 2,965,450 1,482,725 4,448,176 2,224,088 1,112,044 556,022 278,011 834,034 417,017 1,251,052 625,526 312,763 938,290 469,145 1,407,436 703,718 351,859 1,055,578 527,789 1,583,368 791,684 395,842 197,921 593,764 296,882 148,441

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