λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,567,360

6,567,360

26 × 3 × 5 × 6841
Abundant Even Composite

6,567,360 factors as 2^6 × 3 × 5 × 6841. Its 56 positive divisors give a proper-divisor sum of 14,287,056, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 6841
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 20,854,416
Proper Divisor Sum 14,287,056
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6567343 ← → #6567367

Radix Representation

Decimal 6567360
Binary 11001000011010111000000 (23 bits)
Octal 0o31032700
Hexadecimal 0x6435C0

Divisor Catalog (56)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 6,841 13,682 20,523 27,364 34,205 41,046 54,728 68,410 82,092 102,615 109,456 136,820 164,184 205,230 218,912 273,640 328,368 410,460 437,824 547,280 656,736 820,920 1,094,560 1,313,472 1,641,840 2,189,120 3,283,680 6,567,360

Collatz Trajectory (178 steps to reach 1)

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

6,567,360 3,283,680 1,641,840 820,920 410,460 205,230 102,615 307,846 153,923 461,770 230,885 692,656 346,328 173,164 86,582 43,291 129,874 64,937 194,812 97,406 48,703 146,110 73,055 219,166 109,583 328,750 164,375 493,126 246,563 739,690 369,845 1,109,536 554,768 277,384 138,692 69,346 34,673 104,020 52,010 26,005 78,016 39,008 19,504 9,752 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,567,359 Browse Full Index Next Integer #6,567,361 →