λ
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Atlas › Integer Profiles › Node 25,325,944

25,325,944

23 × 72 × 23 × 532
Abundant Even Composite

25,325,944 factors as 2^3 × 7^2 × 23 × 53^2. Its 72 positive divisors give a proper-divisor sum of 33,422,816, so this integer is abundant. The Collatz stopping time is 348 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 23 × 53^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 58,748,760
Proper Divisor Sum 33,422,816
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #25325941 ← → #25325969

Radix Representation

Decimal 25325944
Binary 1100000100111000101111000 (25 bits)
Octal 0o140470570
Hexadecimal 0x1827178

Divisor Catalog (60 of 72)

1 2 4 7 8 14 23 28 46 49 53 56 92 98 106 161 184 196 212 322 371 392 424 644 742 1,127 1,219 1,288 1,484 2,254 2,438 2,597 2,809 2,968 4,508 4,876 5,194 5,618 8,533 9,016 9,752 10,388 11,236 17,066 19,663 20,776 22,472 34,132 39,326 59,731 64,607 68,264 78,652 119,462 129,214 137,641 157,304 238,924 258,428 275,282

Collatz Trajectory (348 steps to reach 1)

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

25,325,944 12,662,972 6,331,486 3,165,743 9,497,230 4,748,615 14,245,846 7,122,923 21,368,770 10,684,385 32,053,156 16,026,578 8,013,289 24,039,868 12,019,934 6,009,967 18,029,902 9,014,951 27,044,854 13,522,427 40,567,282 20,283,641 60,850,924 30,425,462 15,212,731 45,638,194 22,819,097 68,457,292 34,228,646 17,114,323 51,342,970 25,671,485 77,014,456 38,507,228 19,253,614 9,626,807 28,880,422 14,440,211 43,320,634 21,660,317 64,980,952 32,490,476 16,245,238 8,122,619 24,367,858 12,183,929 36,551,788 18,275,894 9,137,947 27,413,842 13,706,921 41,120,764 20,560,382 10,280,191 30,840,574 15,420,287 46,260,862 23,130,431 69,391,294 34,695,647

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