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Atlas › Integer Profiles › Node 11,616,530

11,616,530

2 × 5 × 29 × 41 × 977
Deficient Even Composite

11,616,530 factors as 2 × 5 × 29 × 41 × 977. Its 32 positive divisors give a proper-divisor sum of 10,564,510, so this integer is deficient. The Collatz stopping time is 246 steps.

Prime Factor Structure

Factorization String 2 × 5 × 29 × 41 × 977
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,181,040
Proper Divisor Sum 10,564,510
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #11616529 ← → #11616533

Radix Representation

Decimal 11616530
Binary 101100010100000100010010 (24 bits)
Octal 0o54240422
Hexadecimal 0xB14112

Divisor Catalog (32)

1 2 5 10 29 41 58 82 145 205 290 410 977 1,189 1,954 2,378 4,885 5,945 9,770 11,890 28,333 40,057 56,666 80,114 141,665 200,285 283,330 400,570 1,161,653 2,323,306 5,808,265 11,616,530

Collatz Trajectory (246 steps to reach 1)

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

11,616,530 5,808,265 17,424,796 8,712,398 4,356,199 13,068,598 6,534,299 19,602,898 9,801,449 29,404,348 14,702,174 7,351,087 22,053,262 11,026,631 33,079,894 16,539,947 49,619,842 24,809,921 74,429,764 37,214,882 18,607,441 55,822,324 27,911,162 13,955,581 41,866,744 20,933,372 10,466,686 5,233,343 15,700,030 7,850,015 23,550,046 11,775,023 35,325,070 17,662,535 52,987,606 26,493,803 79,481,410 39,740,705 119,222,116 59,611,058 29,805,529 89,416,588 44,708,294 22,354,147 67,062,442 33,531,221 100,593,664 50,296,832 25,148,416 12,574,208 6,287,104 3,143,552 1,571,776 785,888 392,944 196,472 98,236 49,118 24,559 73,678

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