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Atlas › Integer Profiles › Node 25,614,784

25,614,784

26 × 13 × 17 × 1811
Abundant Even Composite

25,614,784 factors as 2^6 × 13 × 17 × 1811. Its 56 positive divisors give a proper-divisor sum of 32,376,464, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 17 × 1811
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 57,991,248
Proper Divisor Sum 32,376,464
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #25614779 ← → #25614817

Radix Representation

Decimal 25614784
Binary 1100001101101100111000000 (25 bits)
Octal 0o141554700
Hexadecimal 0x186D9C0

Divisor Catalog (56)

1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1,088 1,768 1,811 3,536 3,622 7,072 7,244 14,144 14,488 23,543 28,976 30,787 47,086 57,952 61,574 94,172 115,904 123,148 188,344 246,296 376,688 400,231 492,592 753,376 800,462 985,184 1,506,752 1,600,924 1,970,368 3,201,848 6,403,696 12,807,392 25,614,784

Collatz Trajectory (123 steps to reach 1)

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

25,614,784 12,807,392 6,403,696 3,201,848 1,600,924 800,462 400,231 1,200,694 600,347 1,801,042 900,521 2,701,564 1,350,782 675,391 2,026,174 1,013,087 3,039,262 1,519,631 4,558,894 2,279,447 6,838,342 3,419,171 10,257,514 5,128,757 15,386,272 7,693,136 3,846,568 1,923,284 961,642 480,821 1,442,464 721,232 360,616 180,308 90,154 45,077 135,232 67,616 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755

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