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Atlas › Integer Profiles › Node 3,849,006

3,849,006

2 × 3 × 7 × 113 × 811
Abundant Even Composite

3,849,006 factors as 2 × 3 × 7 × 113 × 811. Its 32 positive divisors give a proper-divisor sum of 5,037,522, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 113 × 811
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,886,528
Proper Divisor Sum 5,037,522
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3848969 ← → #3849017

Radix Representation

Decimal 3849006
Binary 1110101011101100101110 (22 bits)
Octal 0o16535456
Hexadecimal 0x3ABB2E

Divisor Catalog (32)

1 2 3 6 7 14 21 42 113 226 339 678 791 811 1,582 1,622 2,373 2,433 4,746 4,866 5,677 11,354 17,031 34,062 91,643 183,286 274,929 549,858 641,501 1,283,002 1,924,503 3,849,006

Collatz Trajectory (216 steps to reach 1)

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

3,849,006 1,924,503 5,773,510 2,886,755 8,660,266 4,330,133 12,990,400 6,495,200 3,247,600 1,623,800 811,900 405,950 202,975 608,926 304,463 913,390 456,695 1,370,086 685,043 2,055,130 1,027,565 3,082,696 1,541,348 770,674 385,337 1,156,012 578,006 289,003 867,010 433,505 1,300,516 650,258 325,129 975,388 487,694 243,847 731,542 365,771 1,097,314 548,657 1,645,972 822,986 411,493 1,234,480 617,240 308,620 154,310 77,155 231,466 115,733 347,200 173,600 86,800 43,400 21,700 10,850 5,425 16,276 8,138 4,069

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