λ
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Atlas › Integer Profiles › Node 3,903,152

3,903,152

24 × 11 × 67 × 331
Abundant Even Composite

3,903,152 factors as 2^4 × 11 × 67 × 331. Its 40 positive divisors give a proper-divisor sum of 4,495,120, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 67 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,398,272
Proper Divisor Sum 4,495,120
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3903143 ← → #3903187

Radix Representation

Decimal 3903152
Binary 1110111000111010110000 (22 bits)
Octal 0o16707260
Hexadecimal 0x3B8EB0

Divisor Catalog (40)

1 2 4 8 11 16 22 44 67 88 134 176 268 331 536 662 737 1,072 1,324 1,474 2,648 2,948 3,641 5,296 5,896 7,282 11,792 14,564 22,177 29,128 44,354 58,256 88,708 177,416 243,947 354,832 487,894 975,788 1,951,576 3,903,152

Collatz Trajectory (141 steps to reach 1)

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

3,903,152 1,951,576 975,788 487,894 243,947 731,842 365,921 1,097,764 548,882 274,441 823,324 411,662 205,831 617,494 308,747 926,242 463,121 1,389,364 694,682 347,341 1,042,024 521,012 260,506 130,253 390,760 195,380 97,690 48,845 146,536 73,268 36,634 18,317 54,952 27,476 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700

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