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Atlas › Integer Profiles › Node 13,075,580

13,075,580

22 × 5 × 7 × 59 × 1583
Abundant Even Composite

13,075,580 factors as 2^2 × 5 × 7 × 59 × 1583. Its 48 positive divisors give a proper-divisor sum of 18,857,860, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 59 × 1583
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 31,933,440
Proper Divisor Sum 18,857,860
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #13075529 ← → #13075589

Radix Representation

Decimal 13075580
Binary 110001111000010001111100 (24 bits)
Octal 0o61702174
Hexadecimal 0xC7847C

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1,180 1,583 1,652 2,065 3,166 4,130 6,332 7,915 8,260 11,081 15,830 22,162 31,660 44,324 55,405 93,397 110,810 186,794 221,620 373,588 466,985 653,779 933,970 1,307,558 1,867,940 2,615,116 3,268,895 6,537,790 13,075,580

Collatz Trajectory (210 steps to reach 1)

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

13,075,580 6,537,790 3,268,895 9,806,686 4,903,343 14,710,030 7,355,015 22,065,046 11,032,523 33,097,570 16,548,785 49,646,356 24,823,178 12,411,589 37,234,768 18,617,384 9,308,692 4,654,346 2,327,173 6,981,520 3,490,760 1,745,380 872,690 436,345 1,309,036 654,518 327,259 981,778 490,889 1,472,668 736,334 368,167 1,104,502 552,251 1,656,754 828,377 2,485,132 1,242,566 621,283 1,863,850 931,925 2,795,776 1,397,888 698,944 349,472 174,736 87,368 43,684 21,842 10,921 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294 27,647 82,942

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