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Atlas › Integer Profiles › Node 4,125,940

4,125,940

22 × 5 × 7 × 13 × 2267
Abundant Even Composite

4,125,940 factors as 2^2 × 5 × 7 × 13 × 2267. Its 48 positive divisors give a proper-divisor sum of 6,542,732, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 13 × 2267
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,668,672
Proper Divisor Sum 6,542,732
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4125899 ← → #4125941

Radix Representation

Decimal 4125940
Binary 1111101111010011110100 (22 bits)
Octal 0o17572364
Hexadecimal 0x3EF4F4

Divisor Catalog (48)

1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1,820 2,267 4,534 9,068 11,335 15,869 22,670 29,471 31,738 45,340 58,942 63,476 79,345 117,884 147,355 158,690 206,297 294,710 317,380 412,594 589,420 825,188 1,031,485 2,062,970 4,125,940

Collatz Trajectory (105 steps to reach 1)

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

4,125,940 2,062,970 1,031,485 3,094,456 1,547,228 773,614 386,807 1,160,422 580,211 1,740,634 870,317 2,610,952 1,305,476 652,738 326,369 979,108 489,554 244,777 734,332 367,166 183,583 550,750 275,375 826,126 413,063 1,239,190 619,595 1,858,786 929,393 2,788,180 1,394,090 697,045 2,091,136 1,045,568 522,784 261,392 130,696 65,348 32,674 16,337 49,012 24,506 12,253 36,760 18,380 9,190 4,595 13,786 6,893 20,680 10,340 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364

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