25,807,684

2² × 7 × 921703

25,807,684 factors as 2^2 × 7 × 921703. Its 12 positive divisors give a proper-divisor sum of 25,807,740, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 921703

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 51,615,424

Proper Divisor Sum 25,807,740

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #25807673 ← → #25807687

Radix Representation

Decimal	25807684
Binary	1100010011100101101000100 (25 bits)
Octal	0o142345504
Hexadecimal	0x189CB44

Divisor Catalog (12)

1 2 4 7 14 28 921,703 1,843,406 3,686,812 6,451,921 12,903,842 25,807,684

Collatz Trajectory (167 steps to reach 1)

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

25,807,684 12,903,842 6,451,921 19,355,764 9,677,882 4,838,941 14,516,824 7,258,412 3,629,206 1,814,603 5,443,810 2,721,905 8,165,716 4,082,858 2,041,429 6,124,288 3,062,144 1,531,072 765,536 382,768 191,384 95,692 47,846 23,923 71,770 35,885 107,656 53,828 26,914 13,457 40,372 20,186 10,093 30,280 15,140 7,570 3,785 11,356 5,678 2,839 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760

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