3,978,268

2² × 7 × 47 × 3023

3,978,268 factors as 2^2 × 7 × 47 × 3023. Its 24 positive divisors give a proper-divisor sum of 4,150,244, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 47 × 3023

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,128,512

Proper Divisor Sum 4,150,244

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #3978263 ← → #3978269

Radix Representation

Decimal	3978268
Binary	1111001011010000011100 (22 bits)
Octal	0o17132034
Hexadecimal	0x3CB41C

Divisor Catalog (24)

1 2 4 7 14 28 47 94 188 329 658 1,316 3,023 6,046 12,092 21,161 42,322 84,644 142,081 284,162 568,324 994,567 1,989,134 3,978,268

Collatz Trajectory (123 steps to reach 1)

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

3,978,268 1,989,134 994,567 2,983,702 1,491,851 4,475,554 2,237,777 6,713,332 3,356,666 1,678,333 5,035,000 2,517,500 1,258,750 629,375 1,888,126 944,063 2,832,190 1,416,095 4,248,286 2,124,143 6,372,430 3,186,215 9,558,646 4,779,323 14,337,970 7,168,985 21,506,956 10,753,478 5,376,739 16,130,218 8,065,109 24,195,328 12,097,664 6,048,832 3,024,416 1,512,208 756,104 378,052 189,026 94,513 283,540 141,770 70,885 212,656 106,328 53,164 26,582 13,291 39,874 19,937 59,812 29,906 14,953 44,860 22,430 11,215 33,646 16,823 50,470 25,235

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