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Atlas › Integer Profiles › Node 4,500,870

4,500,870

2 × 3 × 5 × 11 × 23 × 593
Abundant Even Composite

4,500,870 factors as 2 × 3 × 5 × 11 × 23 × 593. Its 64 positive divisors give a proper-divisor sum of 7,816,314, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 11 × 23 × 593
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,317,184
Proper Divisor Sum 7,816,314
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4500851 ← → #4500871

Radix Representation

Decimal 4500870
Binary 10001001010110110000110 (23 bits)
Octal 0o21126606
Hexadecimal 0x44AD86

Divisor Catalog (60 of 64)

1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 593 690 759 1,186 1,265 1,518 1,779 2,530 2,965 3,558 3,795 5,930 6,523 7,590 8,895 13,046 13,639 17,790 19,569 27,278 32,615 39,138 40,917 65,230 68,195 81,834 97,845 136,390 150,029 195,690 204,585 300,058 409,170 450,087 750,145

Collatz Trajectory (118 steps to reach 1)

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

4,500,870 2,250,435 6,751,306 3,375,653 10,126,960 5,063,480 2,531,740 1,265,870 632,935 1,898,806 949,403 2,848,210 1,424,105 4,272,316 2,136,158 1,068,079 3,204,238 1,602,119 4,806,358 2,403,179 7,209,538 3,604,769 10,814,308 5,407,154 2,703,577 8,110,732 4,055,366 2,027,683 6,083,050 3,041,525 9,124,576 4,562,288 2,281,144 1,140,572 570,286 285,143 855,430 427,715 1,283,146 641,573 1,924,720 962,360 481,180 240,590 120,295 360,886 180,443 541,330 270,665 811,996 405,998 202,999 608,998 304,499 913,498 456,749 1,370,248 685,124 342,562 171,281

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