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Atlas › Integer Profiles › Node 25,936,614

25,936,614

2 × 32 × 11 × 29 × 4517
Abundant Even Composite

25,936,614 factors as 2 × 3^2 × 11 × 29 × 4517. Its 48 positive divisors give a proper-divisor sum of 37,496,106, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 29 × 4517
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 63,432,720
Proper Divisor Sum 37,496,106
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #25936613 ← → #25936619

Radix Representation

Decimal 25936614
Binary 1100010111100001011100110 (25 bits)
Octal 0o142741346
Hexadecimal 0x18BC2E6

Divisor Catalog (48)

1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1,914 2,871 4,517 5,742 9,034 13,551 27,102 40,653 49,687 81,306 99,374 130,993 149,061 261,986 298,122 392,979 447,183 785,958 894,366 1,178,937 1,440,923 2,357,874 2,881,846 4,322,769 8,645,538 12,968,307 25,936,614

Collatz Trajectory (118 steps to reach 1)

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

25,936,614 12,968,307 38,904,922 19,452,461 58,357,384 29,178,692 14,589,346 7,294,673 21,884,020 10,942,010 5,471,005 16,413,016 8,206,508 4,103,254 2,051,627 6,154,882 3,077,441 9,232,324 4,616,162 2,308,081 6,924,244 3,462,122 1,731,061 5,193,184 2,596,592 1,298,296 649,148 324,574 162,287 486,862 243,431 730,294 365,147 1,095,442 547,721 1,643,164 821,582 410,791 1,232,374 616,187 1,848,562 924,281 2,772,844 1,386,422 693,211 2,079,634 1,039,817 3,119,452 1,559,726 779,863 2,339,590 1,169,795 3,509,386 1,754,693 5,264,080 2,632,040 1,316,020 658,010 329,005 987,016

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