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Atlas › Integer Profiles › Node 3,904,112

3,904,112

24 × 23 × 1032
Abundant Even Composite

3,904,112 factors as 2^4 × 23 × 103^2. Its 30 positive divisors give a proper-divisor sum of 4,066,360, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 103^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 7,970,472
Proper Divisor Sum 4,066,360
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3904111 ← → #3904123

Radix Representation

Decimal 3904112
Binary 1110111001001001110000 (22 bits)
Octal 0o16711160
Hexadecimal 0x3B9270

Divisor Catalog (30)

1 2 4 8 16 23 46 92 103 184 206 368 412 824 1,648 2,369 4,738 9,476 10,609 18,952 21,218 37,904 42,436 84,872 169,744 244,007 488,014 976,028 1,952,056 3,904,112

Collatz Trajectory (185 steps to reach 1)

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

3,904,112 1,952,056 976,028 488,014 244,007 732,022 366,011 1,098,034 549,017 1,647,052 823,526 411,763 1,235,290 617,645 1,852,936 926,468 463,234 231,617 694,852 347,426 173,713 521,140 260,570 130,285 390,856 195,428 97,714 48,857 146,572 73,286 36,643 109,930 54,965 164,896 82,448 41,224 20,612 10,306 5,153 15,460 7,730 3,865 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784

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