λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,779,744

8,779,744

25 × 23 × 79 × 151
Abundant Even Composite

8,779,744 factors as 2^5 × 23 × 79 × 151. Its 48 positive divisors give a proper-divisor sum of 9,606,176, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^5 × 23 × 79 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,385,920
Proper Divisor Sum 9,606,176
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #8779723 ← → #8779753

Radix Representation

Decimal 8779744
Binary 100001011111011111100000 (24 bits)
Octal 0o41373740
Hexadecimal 0x85F7E0

Divisor Catalog (48)

1 2 4 8 16 23 32 46 79 92 151 158 184 302 316 368 604 632 736 1,208 1,264 1,817 2,416 2,528 3,473 3,634 4,832 6,946 7,268 11,929 13,892 14,536 23,858 27,784 29,072 47,716 55,568 58,144 95,432 111,136 190,864 274,367 381,728 548,734 1,097,468 2,194,936 4,389,872 8,779,744

Collatz Trajectory (199 steps to reach 1)

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

8,779,744 4,389,872 2,194,936 1,097,468 548,734 274,367 823,102 411,551 1,234,654 617,327 1,851,982 925,991 2,777,974 1,388,987 4,166,962 2,083,481 6,250,444 3,125,222 1,562,611 4,687,834 2,343,917 7,031,752 3,515,876 1,757,938 878,969 2,636,908 1,318,454 659,227 1,977,682 988,841 2,966,524 1,483,262 741,631 2,224,894 1,112,447 3,337,342 1,668,671 5,006,014 2,503,007 7,509,022 3,754,511 11,263,534 5,631,767 16,895,302 8,447,651 25,342,954 12,671,477 38,014,432 19,007,216 9,503,608 4,751,804 2,375,902 1,187,951 3,563,854 1,781,927 5,345,782 2,672,891 8,018,674 4,009,337 12,028,012

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,779,743 Browse Full Index Next Integer #8,779,745 →