4,249,740

2² × 3 × 5 × 11 × 47 × 137

4,249,740 factors as 2^2 × 3 × 5 × 11 × 47 × 137. Its 96 positive divisors give a proper-divisor sum of 9,104,244, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 47 × 137

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 13,353,984

Proper Divisor Sum 9,104,244

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4249723 ← → #4249741

Radix Representation

Decimal	4249740
Binary	10000001101100010001100 (23 bits)
Octal	0o20154214
Hexadecimal	0x40D88C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 137 141 165 188 220 235 274 282 330 411 470 517 548 564 660 685 705 822 940 1,034 1,370 1,410 1,507 1,551 1,644 2,055 2,068 2,585 2,740 2,820 3,014 3,102 4,110 4,521 5,170 6,028 6,204 6,439

Collatz Trajectory (105 steps to reach 1)

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

4,249,740 2,124,870 1,062,435 3,187,306 1,593,653 4,780,960 2,390,480 1,195,240 597,620 298,810 149,405 448,216 224,108 112,054 56,027 168,082 84,041 252,124 126,062 63,031 189,094 94,547 283,642 141,821 425,464 212,732 106,366 53,183 159,550 79,775 239,326 119,663 358,990 179,495 538,486 269,243 807,730 403,865 1,211,596 605,798 302,899 908,698 454,349 1,363,048 681,524 340,762 170,381 511,144 255,572 127,786 63,893 191,680 95,840 47,920 23,960 11,980 5,990 2,995 8,986 4,493

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