4,149,124

2² × 7² × 21169

4,149,124 factors as 2^2 × 7^2 × 21169. Its 18 positive divisors give a proper-divisor sum of 4,297,706, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 21169

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 8,446,830

Proper Divisor Sum 4,297,706

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4149121 ← → #4149137

Radix Representation

Decimal	4149124
Binary	1111110100111110000100 (22 bits)
Octal	0o17647604
Hexadecimal	0x3F4F84

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 21,169 42,338 84,676 148,183 296,366 592,732 1,037,281 2,074,562 4,149,124

Collatz Trajectory (79 steps to reach 1)

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

4,149,124 2,074,562 1,037,281 3,111,844 1,555,922 777,961 2,333,884 1,166,942 583,471 1,750,414 875,207 2,625,622 1,312,811 3,938,434 1,969,217 5,907,652 2,953,826 1,476,913 4,430,740 2,215,370 1,107,685 3,323,056 1,661,528 830,764 415,382 207,691 623,074 311,537 934,612 467,306 233,653 700,960 350,480 175,240 87,620 43,810 21,905 65,716 32,858 16,429 49,288 24,644 12,322 6,161 18,484 9,242 4,621 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650 325 976 488 244 122

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