λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,991,010

8,991,010

2 × 5 × 72 × 59 × 311
Abundant Even Composite

8,991,010 factors as 2 × 5 × 7^2 × 59 × 311. Its 48 positive divisors give a proper-divisor sum of 10,215,710, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 59 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,206,720
Proper Divisor Sum 10,215,710
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8991007 ← → #8991029

Radix Representation

Decimal 8991010
Binary 100010010011000100100010 (24 bits)
Octal 0o42230442
Hexadecimal 0x893122

Divisor Catalog (48)

1 2 5 7 10 14 35 49 59 70 98 118 245 295 311 413 490 590 622 826 1,555 2,065 2,177 2,891 3,110 4,130 4,354 5,782 10,885 14,455 15,239 18,349 21,770 28,910 30,478 36,698 76,195 91,745 128,443 152,390 183,490 256,886 642,215 899,101 1,284,430 1,798,202 4,495,505 8,991,010

Collatz Trajectory (181 steps to reach 1)

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

8,991,010 4,495,505 13,486,516 6,743,258 3,371,629 10,114,888 5,057,444 2,528,722 1,264,361 3,793,084 1,896,542 948,271 2,844,814 1,422,407 4,267,222 2,133,611 6,400,834 3,200,417 9,601,252 4,800,626 2,400,313 7,200,940 3,600,470 1,800,235 5,400,706 2,700,353 8,101,060 4,050,530 2,025,265 6,075,796 3,037,898 1,518,949 4,556,848 2,278,424 1,139,212 569,606 284,803 854,410 427,205 1,281,616 640,808 320,404 160,202 80,101 240,304 120,152 60,076 30,038 15,019 45,058 22,529 67,588 33,794 16,897 50,692 25,346 12,673 38,020 19,010 9,505

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,991,009 Browse Full Index Next Integer #8,991,011 →