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Atlas › Integer Profiles › Node 26,437,480

26,437,480

23 × 5 × 113 × 5849
Abundant Even Composite

26,437,480 factors as 2^3 × 5 × 113 × 5849. Its 32 positive divisors give a proper-divisor sum of 33,583,520, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 113 × 5849
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 60,021,000
Proper Divisor Sum 33,583,520
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #26437471 ← → #26437501

Radix Representation

Decimal 26437480
Binary 1100100110110011101101000 (25 bits)
Octal 0o144663550
Hexadecimal 0x1936768

Divisor Catalog (32)

1 2 4 5 8 10 20 40 113 226 452 565 904 1,130 2,260 4,520 5,849 11,698 23,396 29,245 46,792 58,490 116,980 233,960 660,937 1,321,874 2,643,748 3,304,685 5,287,496 6,609,370 13,218,740 26,437,480

Collatz Trajectory (211 steps to reach 1)

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

26,437,480 13,218,740 6,609,370 3,304,685 9,914,056 4,957,028 2,478,514 1,239,257 3,717,772 1,858,886 929,443 2,788,330 1,394,165 4,182,496 2,091,248 1,045,624 522,812 261,406 130,703 392,110 196,055 588,166 294,083 882,250 441,125 1,323,376 661,688 330,844 165,422 82,711 248,134 124,067 372,202 186,101 558,304 279,152 139,576 69,788 34,894 17,447 52,342 26,171 78,514 39,257 117,772 58,886 29,443 88,330 44,165 132,496 66,248 33,124 16,562 8,281 24,844 12,422 6,211 18,634 9,317 27,952

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