λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,124,540

4,124,540

22 × 5 × 7 × 17 × 1733
Abundant Even Composite

4,124,540 factors as 2^2 × 5 × 7 × 17 × 1733. Its 48 positive divisors give a proper-divisor sum of 6,362,692, so this integer is abundant. The Collatz stopping time is 304 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 17 × 1733
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,487,232
Proper Divisor Sum 6,362,692
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4124509 ← → #4124563

Radix Representation

Decimal 4124540
Binary 1111101110111101111100 (22 bits)
Octal 0o17567574
Hexadecimal 0x3EEF7C

Divisor Catalog (48)

1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1,190 1,733 2,380 3,466 6,932 8,665 12,131 17,330 24,262 29,461 34,660 48,524 58,922 60,655 117,844 121,310 147,305 206,227 242,620 294,610 412,454 589,220 824,908 1,031,135 2,062,270 4,124,540

Collatz Trajectory (304 steps to reach 1)

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

4,124,540 2,062,270 1,031,135 3,093,406 1,546,703 4,640,110 2,320,055 6,960,166 3,480,083 10,440,250 5,220,125 15,660,376 7,830,188 3,915,094 1,957,547 5,872,642 2,936,321 8,808,964 4,404,482 2,202,241 6,606,724 3,303,362 1,651,681 4,955,044 2,477,522 1,238,761 3,716,284 1,858,142 929,071 2,787,214 1,393,607 4,180,822 2,090,411 6,271,234 3,135,617 9,406,852 4,703,426 2,351,713 7,055,140 3,527,570 1,763,785 5,291,356 2,645,678 1,322,839 3,968,518 1,984,259 5,952,778 2,976,389 8,929,168 4,464,584 2,232,292 1,116,146 558,073 1,674,220 837,110 418,555 1,255,666 627,833 1,883,500 941,750

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,124,539 Browse Full Index Next Integer #4,124,541 →