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Atlas › Integer Profiles › Node 26,978,800

26,978,800

24 × 52 × 67447
Abundant Even Composite

26,978,800 factors as 2^4 × 5^2 × 67447. Its 30 positive divisors give a proper-divisor sum of 37,838,728, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 67447
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 64,817,528
Proper Divisor Sum 37,838,728
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #26978797 ← → #26978807

Radix Representation

Decimal 26978800
Binary 1100110111010100111110000 (25 bits)
Octal 0o146724760
Hexadecimal 0x19BA9F0

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 67,447 134,894 269,788 337,235 539,576 674,470 1,079,152 1,348,940 1,686,175 2,697,880 3,372,350 5,395,760 6,744,700 13,489,400 26,978,800

Collatz Trajectory (136 steps to reach 1)

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

26,978,800 13,489,400 6,744,700 3,372,350 1,686,175 5,058,526 2,529,263 7,587,790 3,793,895 11,381,686 5,690,843 17,072,530 8,536,265 25,608,796 12,804,398 6,402,199 19,206,598 9,603,299 28,809,898 14,404,949 43,214,848 21,607,424 10,803,712 5,401,856 2,700,928 1,350,464 675,232 337,616 168,808 84,404 42,202 21,101 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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