λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,522,720

17,522,720

25 × 5 × 109517
Abundant Even Composite

17,522,720 factors as 2^5 × 5 × 109517. Its 24 positive divisors give a proper-divisor sum of 23,875,084, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 109517
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 41,397,804
Proper Divisor Sum 23,875,084
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #17522717 ← → #17522723

Radix Representation

Decimal 17522720
Binary 1000010110110000000100000 (25 bits)
Octal 0o102660040
Hexadecimal 0x10B6020

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 109,517 219,034 438,068 547,585 876,136 1,095,170 1,752,272 2,190,340 3,504,544 4,380,680 8,761,360 17,522,720

Collatz Trajectory (63 steps to reach 1)

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

17,522,720 8,761,360 4,380,680 2,190,340 1,095,170 547,585 1,642,756 821,378 410,689 1,232,068 616,034 308,017 924,052 462,026 231,013 693,040 346,520 173,260 86,630 43,315 129,946 64,973 194,920 97,460 48,730 24,365 73,096 36,548 18,274 9,137 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #17,522,719 Browse Full Index Next Integer #17,522,721 →