λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,873,390

9,873,390

2 × 3 × 5 × 397 × 829
Abundant Even Composite

9,873,390 factors as 2 × 3 × 5 × 397 × 829. Its 32 positive divisors give a proper-divisor sum of 13,911,090, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 397 × 829
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,784,480
Proper Divisor Sum 13,911,090
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9873389 ← → #9873433

Radix Representation

Decimal 9873390
Binary 100101101010011111101110 (24 bits)
Octal 0o45523756
Hexadecimal 0x96A7EE

Divisor Catalog (32)

1 2 3 5 6 10 15 30 397 794 829 1,191 1,658 1,985 2,382 2,487 3,970 4,145 4,974 5,955 8,290 11,910 12,435 24,870 329,113 658,226 987,339 1,645,565 1,974,678 3,291,130 4,936,695 9,873,390

Collatz Trajectory (145 steps to reach 1)

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

9,873,390 4,936,695 14,810,086 7,405,043 22,215,130 11,107,565 33,322,696 16,661,348 8,330,674 4,165,337 12,496,012 6,248,006 3,124,003 9,372,010 4,686,005 14,058,016 7,029,008 3,514,504 1,757,252 878,626 439,313 1,317,940 658,970 329,485 988,456 494,228 247,114 123,557 370,672 185,336 92,668 46,334 23,167 69,502 34,751 104,254 52,127 156,382 78,191 234,574 117,287 351,862 175,931 527,794 263,897 791,692 395,846 197,923 593,770 296,885 890,656 445,328 222,664 111,332 55,666 27,833 83,500 41,750 20,875 62,626

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,873,389 Browse Full Index Next Integer #9,873,391 →