λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,997,900

8,997,900

22 × 3 × 52 × 89 × 337
Abundant Even Composite

8,997,900 factors as 2^2 × 3 × 5^2 × 89 × 337. Its 72 positive divisors give a proper-divisor sum of 17,406,660, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 89 × 337
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 26,404,560
Proper Divisor Sum 17,406,660
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8997889 ← → #8997931

Radix Representation

Decimal 8997900
Binary 100010010100110000001100 (24 bits)
Octal 0o42246014
Hexadecimal 0x894C0C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 267 300 337 356 445 534 674 890 1,011 1,068 1,335 1,348 1,685 1,780 2,022 2,225 2,670 3,370 4,044 4,450 5,055 5,340 6,675 6,740 8,425 8,900 10,110 13,350 16,850 20,220 25,275 26,700 29,993 33,700 50,550 59,986 89,979 101,100 119,972 149,965 179,958

Collatz Trajectory (137 steps to reach 1)

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

8,997,900 4,498,950 2,249,475 6,748,426 3,374,213 10,122,640 5,061,320 2,530,660 1,265,330 632,665 1,897,996 948,998 474,499 1,423,498 711,749 2,135,248 1,067,624 533,812 266,906 133,453 400,360 200,180 100,090 50,045 150,136 75,068 37,534 18,767 56,302 28,151 84,454 42,227 126,682 63,341 190,024 95,012 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,997,899 Browse Full Index Next Integer #8,997,901 →