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Atlas › Integer Profiles › Node 3,935,274

3,935,274

2 × 3 × 7 × 43 × 2179
Abundant Even Composite

3,935,274 factors as 2 × 3 × 7 × 43 × 2179. Its 32 positive divisors give a proper-divisor sum of 5,273,046, so this integer is abundant. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 43 × 2179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,208,320
Proper Divisor Sum 5,273,046
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3935273 ← → #3935287

Radix Representation

Decimal 3935274
Binary 1111000000110000101010 (22 bits)
Octal 0o17006052
Hexadecimal 0x3C0C2A

Divisor Catalog (32)

1 2 3 6 7 14 21 42 43 86 129 258 301 602 903 1,806 2,179 4,358 6,537 13,074 15,253 30,506 45,759 91,518 93,697 187,394 281,091 562,182 655,879 1,311,758 1,967,637 3,935,274

Collatz Trajectory (110 steps to reach 1)

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

3,935,274 1,967,637 5,902,912 2,951,456 1,475,728 737,864 368,932 184,466 92,233 276,700 138,350 69,175 207,526 103,763 311,290 155,645 466,936 233,468 116,734 58,367 175,102 87,551 262,654 131,327 393,982 196,991 590,974 295,487 886,462 443,231 1,329,694 664,847 1,994,542 997,271 2,991,814 1,495,907 4,487,722 2,243,861 6,731,584 3,365,792 1,682,896 841,448 420,724 210,362 105,181 315,544 157,772 78,886 39,443 118,330 59,165 177,496 88,748 44,374 22,187 66,562 33,281 99,844 49,922 24,961

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