λ
Ratio Atlas
Atlas › Integer Profiles › Node 55,678,084

55,678,084

22 × 7 × 11 × 180773
Abundant Even Composite

55,678,084 factors as 2^2 × 7 × 11 × 180773. Its 24 positive divisors give a proper-divisor sum of 65,802,044, so this integer is abundant. The Collatz stopping time is 49 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 180773
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 121,480,128
Proper Divisor Sum 65,802,044
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #55678067 ← → #55678087

Radix Representation

Decimal 55678084
Binary 11010100011001010010000100 (26 bits)
Octal 0o324312204
Hexadecimal 0x3519484

Divisor Catalog (24)

1 2 4 7 11 14 22 28 44 77 154 308 180,773 361,546 723,092 1,265,411 1,988,503 2,530,822 3,977,006 5,061,644 7,954,012 13,919,521 27,839,042 55,678,084

Collatz Trajectory (49 steps to reach 1)

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

55,678,084 27,839,042 13,919,521 41,758,564 20,879,282 10,439,641 31,318,924 15,659,462 7,829,731 23,489,194 11,744,597 35,233,792 17,616,896 8,808,448 4,404,224 2,202,112 1,101,056 550,528 275,264 137,632 68,816 34,408 17,204 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #55,678,083 Browse Full Index Next Integer #55,678,085 →