3,794,980

2² × 5 × 7 × 27107

3,794,980 factors as 2^2 × 5 × 7 × 27107. Its 24 positive divisors give a proper-divisor sum of 5,313,308, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 27107

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,108,288

Proper Divisor Sum 5,313,308

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3794971 ← → #3794981

Radix Representation

Decimal	3794980
Binary	1110011110100000100100 (22 bits)
Octal	0o16364044
Hexadecimal	0x39E824

Divisor Catalog (24)

Collatz Trajectory (128 steps to reach 1)

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

3,794,980 1,897,490 948,745 2,846,236 1,423,118 711,559 2,134,678 1,067,339 3,202,018 1,601,009 4,803,028 2,401,514 1,200,757 3,602,272 1,801,136 900,568 450,284 225,142 112,571 337,714 168,857 506,572 253,286 126,643 379,930 189,965 569,896 284,948 142,474 71,237 213,712 106,856 53,428 26,714 13,357 40,072 20,036 10,018 5,009 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670

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