25,001,968

2⁴ × 17² × 5407

25,001,968 factors as 2^4 × 17^2 × 5407. Its 30 positive divisors give a proper-divisor sum of 26,465,968, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^4 × 17^2 × 5407

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 51,467,936

Proper Divisor Sum 26,465,968

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #25001959 ← → #25001981

Radix Representation

Decimal	25001968
Binary	1011111010111111111110000 (25 bits)
Octal	0o137277760
Hexadecimal	0x17D7FF0

Divisor Catalog (30)

Collatz Trajectory (159 steps to reach 1)

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

25,001,968 12,500,984 6,250,492 3,125,246 1,562,623 4,687,870 2,343,935 7,031,806 3,515,903 10,547,710 5,273,855 15,821,566 7,910,783 23,732,350 11,866,175 35,598,526 17,799,263 53,397,790 26,698,895 80,096,686 40,048,343 120,145,030 60,072,515 180,217,546 90,108,773 270,326,320 135,163,160 67,581,580 33,790,790 16,895,395 50,686,186 25,343,093 76,029,280 38,014,640 19,007,320 9,503,660 4,751,830 2,375,915 7,127,746 3,563,873 10,691,620 5,345,810 2,672,905 8,018,716 4,009,358 2,004,679 6,014,038 3,007,019 9,021,058 4,510,529 13,531,588 6,765,794 3,382,897 10,148,692 5,074,346 2,537,173 7,611,520 3,805,760 1,902,880 951,440

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