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Atlas › Integer Profiles › Node 25,298,432

25,298,432

29 × 49411
Deficient Even Composite

25,298,432 factors as 2^9 × 49411. Its 20 positive divisors give a proper-divisor sum of 25,250,044, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^9 × 49411
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 50,548,476
Proper Divisor Sum 25,250,044
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #25298423 ← → #25298447

Radix Representation

Decimal 25298432
Binary 1100000100000011000000000 (25 bits)
Octal 0o140403000
Hexadecimal 0x1820600

Divisor Catalog (20)

1 2 4 8 16 32 64 128 256 512 49,411 98,822 197,644 395,288 790,576 1,581,152 3,162,304 6,324,608 12,649,216 25,298,432

Collatz Trajectory (154 steps to reach 1)

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

25,298,432 12,649,216 6,324,608 3,162,304 1,581,152 790,576 395,288 197,644 98,822 49,411 148,234 74,117 222,352 111,176 55,588 27,794 13,897 41,692 20,846 10,423 31,270 15,635 46,906 23,453 70,360 35,180 17,590 8,795 26,386 13,193 39,580 19,790 9,895 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148 37,574 18,787 56,362 28,181 84,544 42,272 21,136 10,568 5,284 2,642 1,321 3,964 1,982 991 2,974 1,487 4,462

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