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Atlas › Integer Profiles › Node 56,311,280

56,311,280

24 × 5 × 593 × 1187
Abundant Even Composite

56,311,280 factors as 2^4 × 5 × 593 × 1187. Its 40 positive divisors give a proper-divisor sum of 74,943,712, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 593 × 1187
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 131,254,992
Proper Divisor Sum 74,943,712
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #56311273 ← → #56311309

Radix Representation

Decimal 56311280
Binary 11010110110011110111110000 (26 bits)
Octal 0o326636760
Hexadecimal 0x35B3DF0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 593 1,186 1,187 2,372 2,374 2,965 4,744 4,748 5,930 5,935 9,488 9,496 11,860 11,870 18,992 23,720 23,740 47,440 47,480 94,960 703,891 1,407,782 2,815,564 3,519,455 5,631,128 7,038,910 11,262,256 14,077,820 28,155,640 56,311,280

Collatz Trajectory (181 steps to reach 1)

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

56,311,280 28,155,640 14,077,820 7,038,910 3,519,455 10,558,366 5,279,183 15,837,550 7,918,775 23,756,326 11,878,163 35,634,490 17,817,245 53,451,736 26,725,868 13,362,934 6,681,467 20,044,402 10,022,201 30,066,604 15,033,302 7,516,651 22,549,954 11,274,977 33,824,932 16,912,466 8,456,233 25,368,700 12,684,350 6,342,175 19,026,526 9,513,263 28,539,790 14,269,895 42,809,686 21,404,843 64,214,530 32,107,265 96,321,796 48,160,898 24,080,449 72,241,348 36,120,674 18,060,337 54,181,012 27,090,506 13,545,253 40,635,760 20,317,880 10,158,940 5,079,470 2,539,735 7,619,206 3,809,603 11,428,810 5,714,405 17,143,216 8,571,608 4,285,804 2,142,902

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