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Atlas › Integer Profiles › Node 3,901,764

3,901,764

22 × 3 × 19 × 109 × 157
Abundant Even Composite

3,901,764 factors as 2^2 × 3 × 19 × 109 × 157. Its 48 positive divisors give a proper-divisor sum of 5,831,036, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 109 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,732,800
Proper Divisor Sum 5,831,036
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3901757 ← → #3901787

Radix Representation

Decimal 3901764
Binary 1110111000100101000100 (22 bits)
Octal 0o16704504
Hexadecimal 0x3B8944

Divisor Catalog (48)

1 2 3 4 6 12 19 38 57 76 109 114 157 218 228 314 327 436 471 628 654 942 1,308 1,884 2,071 2,983 4,142 5,966 6,213 8,284 8,949 11,932 12,426 17,113 17,898 24,852 34,226 35,796 51,339 68,452 102,678 205,356 325,147 650,294 975,441 1,300,588 1,950,882 3,901,764

Collatz Trajectory (97 steps to reach 1)

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

3,901,764 1,950,882 975,441 2,926,324 1,463,162 731,581 2,194,744 1,097,372 548,686 274,343 823,030 411,515 1,234,546 617,273 1,851,820 925,910 462,955 1,388,866 694,433 2,083,300 1,041,650 520,825 1,562,476 781,238 390,619 1,171,858 585,929 1,757,788 878,894 439,447 1,318,342 659,171 1,977,514 988,757 2,966,272 1,483,136 741,568 370,784 185,392 92,696 46,348 23,174 11,587 34,762 17,381 52,144 26,072 13,036 6,518 3,259 9,778 4,889 14,668 7,334 3,667 11,002 5,501 16,504 8,252 4,126

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