λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,441,982

8,441,982

2 × 34 × 31 × 412
Abundant Even Composite

8,441,982 factors as 2 × 3^4 × 31 × 41^2. Its 60 positive divisors give a proper-divisor sum of 11,572,386, so this integer is abundant. The Collatz stopping time is 349 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 31 × 41^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 20,014,368
Proper Divisor Sum 11,572,386
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8441969 ← → #8442011

Radix Representation

Decimal 8441982
Binary 100000001101000001111110 (24 bits)
Octal 0o40150176
Hexadecimal 0x80D07E

Divisor Catalog (60)

1 2 3 6 9 18 27 31 41 54 62 81 82 93 123 162 186 246 279 369 558 738 837 1,107 1,271 1,674 1,681 2,214 2,511 2,542 3,321 3,362 3,813 5,022 5,043 6,642 7,626 10,086 11,439 15,129 22,878 30,258 34,317 45,387 52,111 68,634 90,774 102,951 104,222 136,161 156,333 205,902 272,322 312,666 468,999 937,998 1,406,997 2,813,994 4,220,991 8,441,982

Collatz Trajectory (349 steps to reach 1)

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

8,441,982 4,220,991 12,662,974 6,331,487 18,994,462 9,497,231 28,491,694 14,245,847 42,737,542 21,368,771 64,106,314 32,053,157 96,159,472 48,079,736 24,039,868 12,019,934 6,009,967 18,029,902 9,014,951 27,044,854 13,522,427 40,567,282 20,283,641 60,850,924 30,425,462 15,212,731 45,638,194 22,819,097 68,457,292 34,228,646 17,114,323 51,342,970 25,671,485 77,014,456 38,507,228 19,253,614 9,626,807 28,880,422 14,440,211 43,320,634 21,660,317 64,980,952 32,490,476 16,245,238 8,122,619 24,367,858 12,183,929 36,551,788 18,275,894 9,137,947 27,413,842 13,706,921 41,120,764 20,560,382 10,280,191 30,840,574 15,420,287 46,260,862 23,130,431 69,391,294

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,441,981 Browse Full Index Next Integer #8,441,983 →