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Atlas › Integer Profiles › Node 3,901,308

3,901,308

22 × 3 × 19 × 71 × 241
Abundant Even Composite

3,901,308 factors as 2^2 × 3 × 19 × 71 × 241. Its 48 positive divisors give a proper-divisor sum of 5,856,132, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 71 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,757,440
Proper Divisor Sum 5,856,132
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3901301 ← → #3901333

Radix Representation

Decimal 3901308
Binary 1110111000011101111100 (22 bits)
Octal 0o16703574
Hexadecimal 0x3B877C

Divisor Catalog (48)

1 2 3 4 6 12 19 38 57 71 76 114 142 213 228 241 284 426 482 723 852 964 1,349 1,446 2,698 2,892 4,047 4,579 5,396 8,094 9,158 13,737 16,188 17,111 18,316 27,474 34,222 51,333 54,948 68,444 102,666 205,332 325,109 650,218 975,327 1,300,436 1,950,654 3,901,308

Collatz Trajectory (203 steps to reach 1)

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

3,901,308 1,950,654 975,327 2,925,982 1,462,991 4,388,974 2,194,487 6,583,462 3,291,731 9,875,194 4,937,597 14,812,792 7,406,396 3,703,198 1,851,599 5,554,798 2,777,399 8,332,198 4,166,099 12,498,298 6,249,149 18,747,448 9,373,724 4,686,862 2,343,431 7,030,294 3,515,147 10,545,442 5,272,721 15,818,164 7,909,082 3,954,541 11,863,624 5,931,812 2,965,906 1,482,953 4,448,860 2,224,430 1,112,215 3,336,646 1,668,323 5,004,970 2,502,485 7,507,456 3,753,728 1,876,864 938,432 469,216 234,608 117,304 58,652 29,326 14,663 43,990 21,995 65,986 32,993 98,980 49,490 24,745

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