25,257,524

2² × 193 × 32717

25,257,524 factors as 2^2 × 193 × 32717. Its 12 positive divisors give a proper-divisor sum of 19,173,520, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^2 × 193 × 32717

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 44,431,044

Proper Divisor Sum 19,173,520

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #25257509 ← → #25257527

Radix Representation

Decimal	25257524
Binary	1100000010110011000110100 (25 bits)
Octal	0o140263064
Hexadecimal	0x1816634

Divisor Catalog (12)

1 2 4 193 386 772 32,717 65,434 130,868 6,314,381 12,628,762 25,257,524

Collatz Trajectory (167 steps to reach 1)

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

25,257,524 12,628,762 6,314,381 18,943,144 9,471,572 4,735,786 2,367,893 7,103,680 3,551,840 1,775,920 887,960 443,980 221,990 110,995 332,986 166,493 499,480 249,740 124,870 62,435 187,306 93,653 280,960 140,480 70,240 35,120 17,560 8,780 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124

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