λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,130,080

4,130,080

25 × 5 × 83 × 311
Abundant Even Composite

4,130,080 factors as 2^5 × 5 × 83 × 311. Its 48 positive divisors give a proper-divisor sum of 5,776,544, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 83 × 311
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,906,624
Proper Divisor Sum 5,776,544
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #4130039 ← → #4130111

Radix Representation

Decimal 4130080
Binary 1111110000010100100000 (22 bits)
Octal 0o17602440
Hexadecimal 0x3F0520

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 83 160 166 311 332 415 622 664 830 1,244 1,328 1,555 1,660 2,488 2,656 3,110 3,320 4,976 6,220 6,640 9,952 12,440 13,280 24,880 25,813 49,760 51,626 103,252 129,065 206,504 258,130 413,008 516,260 826,016 1,032,520 2,065,040 4,130,080

Collatz Trajectory (92 steps to reach 1)

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

4,130,080 2,065,040 1,032,520 516,260 258,130 129,065 387,196 193,598 96,799 290,398 145,199 435,598 217,799 653,398 326,699 980,098 490,049 1,470,148 735,074 367,537 1,102,612 551,306 275,653 826,960 413,480 206,740 103,370 51,685 155,056 77,528 38,764 19,382 9,691 29,074 14,537 43,612 21,806 10,903 32,710 16,355 49,066 24,533 73,600 36,800 18,400 9,200 4,600 2,300 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,130,079 Browse Full Index Next Integer #4,130,081 →