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Atlas › Integer Profiles › Node 26,979,040

26,979,040

25 × 5 × 11 × 15329
Abundant Even Composite

26,979,040 factors as 2^5 × 5 × 11 × 15329. Its 48 positive divisors give a proper-divisor sum of 42,557,840, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 11 × 15329
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 69,536,880
Proper Divisor Sum 42,557,840
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #26978981 ← → #26979061

Radix Representation

Decimal 26979040
Binary 1100110111010101011100000 (25 bits)
Octal 0o146725340
Hexadecimal 0x19BAAE0

Divisor Catalog (48)

1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1,760 15,329 30,658 61,316 76,645 122,632 153,290 168,619 245,264 306,580 337,238 490,528 613,160 674,476 843,095 1,226,320 1,348,952 1,686,190 2,452,640 2,697,904 3,372,380 5,395,808 6,744,760 13,489,520 26,979,040

Collatz Trajectory (136 steps to reach 1)

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

26,979,040 13,489,520 6,744,760 3,372,380 1,686,190 843,095 2,529,286 1,264,643 3,793,930 1,896,965 5,690,896 2,845,448 1,422,724 711,362 355,681 1,067,044 533,522 266,761 800,284 400,142 200,071 600,214 300,107 900,322 450,161 1,350,484 675,242 337,621 1,012,864 506,432 253,216 126,608 63,304 31,652 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756

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