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Atlas › Integer Profiles › Node 26,465,992

26,465,992

23 × 7 × 41 × 11527
Abundant Even Composite

26,465,992 factors as 2^3 × 7 × 41 × 11527. Its 32 positive divisors give a proper-divisor sum of 31,635,128, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 41 × 11527
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 58,101,120
Proper Divisor Sum 31,635,128
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #26465987 ← → #26466007

Radix Representation

Decimal 26465992
Binary 1100100111101011011001000 (25 bits)
Octal 0o144753310
Hexadecimal 0x193D6C8

Divisor Catalog (32)

1 2 4 7 8 14 28 41 56 82 164 287 328 574 1,148 2,296 11,527 23,054 46,108 80,689 92,216 161,378 322,756 472,607 645,512 945,214 1,890,428 3,308,249 3,780,856 6,616,498 13,232,996 26,465,992

Collatz Trajectory (180 steps to reach 1)

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

26,465,992 13,232,996 6,616,498 3,308,249 9,924,748 4,962,374 2,481,187 7,443,562 3,721,781 11,165,344 5,582,672 2,791,336 1,395,668 697,834 348,917 1,046,752 523,376 261,688 130,844 65,422 32,711 98,134 49,067 147,202 73,601 220,804 110,402 55,201 165,604 82,802 41,401 124,204 62,102 31,051 93,154 46,577 139,732 69,866 34,933 104,800 52,400 26,200 13,100 6,550 3,275 9,826 4,913 14,740 7,370 3,685 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778

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