3,979,108

2² × 7 × 142111

3,979,108 factors as 2^2 × 7 × 142111. Its 12 positive divisors give a proper-divisor sum of 3,979,164, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 142111

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,958,272

Proper Divisor Sum 3,979,164

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3979043 ← → #3979117

Radix Representation

Decimal	3979108
Binary	1111001011011101100100 (22 bits)
Octal	0o17133544
Hexadecimal	0x3CB764

Divisor Catalog (12)

1 2 4 7 14 28 142,111 284,222 568,444 994,777 1,989,554 3,979,108

Collatz Trajectory (154 steps to reach 1)

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

3,979,108 1,989,554 994,777 2,984,332 1,492,166 746,083 2,238,250 1,119,125 3,357,376 1,678,688 839,344 419,672 209,836 104,918 52,459 157,378 78,689 236,068 118,034 59,017 177,052 88,526 44,263 132,790 66,395 199,186 99,593 298,780 149,390 74,695 224,086 112,043 336,130 168,065 504,196 252,098 126,049 378,148 189,074 94,537 283,612 141,806 70,903 212,710 106,355 319,066 159,533 478,600 239,300 119,650 59,825 179,476 89,738 44,869 134,608 67,304 33,652 16,826 8,413 25,240

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