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Atlas › Integer Profiles › Node 4,133,070

4,133,070

2 × 32 × 5 × 19 × 2417
Abundant Even Composite

4,133,070 factors as 2 × 3^2 × 5 × 19 × 2417. Its 48 positive divisors give a proper-divisor sum of 7,183,170, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 19 × 2417
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,316,240
Proper Divisor Sum 7,183,170
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4133069 ← → #4133113

Radix Representation

Decimal 4133070
Binary 1111110001000011001110 (22 bits)
Octal 0o17610316
Hexadecimal 0x3F10CE

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1,710 2,417 4,834 7,251 12,085 14,502 21,753 24,170 36,255 43,506 45,923 72,510 91,846 108,765 137,769 217,530 229,615 275,538 413,307 459,230 688,845 826,614 1,377,690 2,066,535 4,133,070

Collatz Trajectory (229 steps to reach 1)

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

4,133,070 2,066,535 6,199,606 3,099,803 9,299,410 4,649,705 13,949,116 6,974,558 3,487,279 10,461,838 5,230,919 15,692,758 7,846,379 23,539,138 11,769,569 35,308,708 17,654,354 8,827,177 26,481,532 13,240,766 6,620,383 19,861,150 9,930,575 29,791,726 14,895,863 44,687,590 22,343,795 67,031,386 33,515,693 100,547,080 50,273,540 25,136,770 12,568,385 37,705,156 18,852,578 9,426,289 28,278,868 14,139,434 7,069,717 21,209,152 10,604,576 5,302,288 2,651,144 1,325,572 662,786 331,393 994,180 497,090 248,545 745,636 372,818 186,409 559,228 279,614 139,807 419,422 209,711 629,134 314,567 943,702

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