3,948,294

2 × 3 × 7 × 94007

3,948,294 factors as 2 × 3 × 7 × 94007. Its 16 positive divisors give a proper-divisor sum of 5,076,474, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 94007

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,024,768

Proper Divisor Sum 5,076,474

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3948293 ← → #3948311

Radix Representation

Decimal	3948294
Binary	1111000011111100000110 (22 bits)
Octal	0o17037406
Hexadecimal	0x3C3F06

Divisor Catalog (16)

1 2 3 6 7 14 21 42 94,007 188,014 282,021 564,042 658,049 1,316,098 1,974,147 3,948,294

Collatz Trajectory (79 steps to reach 1)

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

3,948,294 1,974,147 5,922,442 2,961,221 8,883,664 4,441,832 2,220,916 1,110,458 555,229 1,665,688 832,844 416,422 208,211 624,634 312,317 936,952 468,476 234,238 117,119 351,358 175,679 527,038 263,519 790,558 395,279 1,185,838 592,919 1,778,758 889,379 2,668,138 1,334,069 4,002,208 2,001,104 1,000,552 500,276 250,138 125,069 375,208 187,604 93,802 46,901 140,704 70,352 35,176 17,588 8,794 4,397 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116

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