4,158,630

2 × 3² × 5 × 7² × 23 × 41

4,158,630 factors as 2 × 3^2 × 5 × 7^2 × 23 × 41. Its 144 positive divisors give a proper-divisor sum of 9,286,074, so this integer is abundant. The Collatz stopping time is 366 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7^2 × 23 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 13,444,704

Proper Divisor Sum 9,286,074

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4158617 ← → #4158631

Radix Representation

Decimal	4158630
Binary	1111110111010010100110 (22 bits)
Octal	0o17672246
Hexadecimal	0x3F74A6

Divisor Catalog (60 of 144)

1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 41 42 45 46 49 63 69 70 82 90 98 105 115 123 126 138 147 161 205 207 210 230 245 246 287 294 315 322 345 369 410 414 441 483 490 574 615 630 690 735 738 805 861 882 943

Collatz Trajectory (366 steps to reach 1)

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

4,158,630 2,079,315 6,237,946 3,118,973 9,356,920 4,678,460 2,339,230 1,169,615 3,508,846 1,754,423 5,263,270 2,631,635 7,894,906 3,947,453 11,842,360 5,921,180 2,960,590 1,480,295 4,440,886 2,220,443 6,661,330 3,330,665 9,991,996 4,995,998 2,497,999 7,493,998 3,746,999 11,240,998 5,620,499 16,861,498 8,430,749 25,292,248 12,646,124 6,323,062 3,161,531 9,484,594 4,742,297 14,226,892 7,113,446 3,556,723 10,670,170 5,335,085 16,005,256 8,002,628 4,001,314 2,000,657 6,001,972 3,000,986 1,500,493 4,501,480 2,250,740 1,125,370 562,685 1,688,056 844,028 422,014 211,007 633,022 316,511 949,534

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