λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,101,080

7,101,080

23 × 5 × 72 × 3623
Abundant Even Composite

7,101,080 factors as 2^3 × 5 × 7^2 × 3623. Its 48 positive divisors give a proper-divisor sum of 11,490,040, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7^2 × 3623
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,591,120
Proper Divisor Sum 11,490,040
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #7101067 ← → #7101091

Radix Representation

Decimal 7101080
Binary 11011000101101010011000 (23 bits)
Octal 0o33055230
Hexadecimal 0x6C5A98

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1,960 3,623 7,246 14,492 18,115 25,361 28,984 36,230 50,722 72,460 101,444 126,805 144,920 177,527 202,888 253,610 355,054 507,220 710,108 887,635 1,014,440 1,420,216 1,775,270 3,550,540 7,101,080

Collatz Trajectory (160 steps to reach 1)

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

7,101,080 3,550,540 1,775,270 887,635 2,662,906 1,331,453 3,994,360 1,997,180 998,590 499,295 1,497,886 748,943 2,246,830 1,123,415 3,370,246 1,685,123 5,055,370 2,527,685 7,583,056 3,791,528 1,895,764 947,882 473,941 1,421,824 710,912 355,456 177,728 88,864 44,432 22,216 11,108 5,554 2,777 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,101,079 Browse Full Index Next Integer #7,101,081 →