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Atlas › Integer Profiles › Node 26,514,160

26,514,160

24 × 5 × 157 × 2111
Abundant Even Composite

26,514,160 factors as 2^4 × 5 × 157 × 2111. Its 40 positive divisors give a proper-divisor sum of 35,553,296, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 157 × 2111
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 62,067,456
Proper Divisor Sum 35,553,296
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #26514133 ← → #26514179

Radix Representation

Decimal 26514160
Binary 1100101001001001011110000 (25 bits)
Octal 0o145111360
Hexadecimal 0x19492F0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 157 314 628 785 1,256 1,570 2,111 2,512 3,140 4,222 6,280 8,444 10,555 12,560 16,888 21,110 33,776 42,220 84,440 168,880 331,427 662,854 1,325,708 1,657,135 2,651,416 3,314,270 5,302,832 6,628,540 13,257,080 26,514,160

Collatz Trajectory (118 steps to reach 1)

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

26,514,160 13,257,080 6,628,540 3,314,270 1,657,135 4,971,406 2,485,703 7,457,110 3,728,555 11,185,666 5,592,833 16,778,500 8,389,250 4,194,625 12,583,876 6,291,938 3,145,969 9,437,908 4,718,954 2,359,477 7,078,432 3,539,216 1,769,608 884,804 442,402 221,201 663,604 331,802 165,901 497,704 248,852 124,426 62,213 186,640 93,320 46,660 23,330 11,665 34,996 17,498 8,749 26,248 13,124 6,562 3,281 9,844 4,922 2,461 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678

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