3,976,830

2 × 3³ × 5 × 11 × 13 × 103

3,976,830 factors as 2 × 3^3 × 5 × 11 × 13 × 103. Its 128 positive divisors give a proper-divisor sum of 8,603,010, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 11 × 13 × 103

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 12,579,840

Proper Divisor Sum 8,603,010

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3976829 ← → #3976831

Radix Representation

Decimal	3976830
Binary	1111001010111001111110 (22 bits)
Octal	0o17127176
Hexadecimal	0x3CAE7E

Divisor Catalog (60 of 128)

1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 90 99 103 110 117 130 135 143 165 195 198 206 234 270 286 297 309 330 351 390 429 495 515 585 594 618 702 715 858 927 990 1,030 1,133 1,170 1,287 1,339 1,430

Collatz Trajectory (123 steps to reach 1)

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

3,976,830 1,988,415 5,965,246 2,982,623 8,947,870 4,473,935 13,421,806 6,710,903 20,132,710 10,066,355 30,199,066 15,099,533 45,298,600 22,649,300 11,324,650 5,662,325 16,986,976 8,493,488 4,246,744 2,123,372 1,061,686 530,843 1,592,530 796,265 2,388,796 1,194,398 597,199 1,791,598 895,799 2,687,398 1,343,699 4,031,098 2,015,549 6,046,648 3,023,324 1,511,662 755,831 2,267,494 1,133,747 3,401,242 1,700,621 5,101,864 2,550,932 1,275,466 637,733 1,913,200 956,600 478,300 239,150 119,575 358,726 179,363 538,090 269,045 807,136 403,568 201,784 100,892 50,446 25,223

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,976,829 Browse Full Index Next Integer #3,976,831 →