25,802,468

2² × 37 × 313 × 557

25,802,468 factors as 2^2 × 37 × 313 × 557. Its 24 positive divisors give a proper-divisor sum of 20,803,924, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^2 × 37 × 313 × 557

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 46,606,392

Proper Divisor Sum 20,803,924

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #25802423 ← → #25802471

Radix Representation

Decimal	25802468
Binary	1100010011011011011100100 (25 bits)
Octal	0o142333344
Hexadecimal	0x189B6E4

Divisor Catalog (24)

Collatz Trajectory (79 steps to reach 1)

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

25,802,468 12,901,234 6,450,617 19,351,852 9,675,926 4,837,963 14,513,890 7,256,945 21,770,836 10,885,418 5,442,709 16,328,128 8,164,064 4,082,032 2,041,016 1,020,508 510,254 255,127 765,382 382,691 1,148,074 574,037 1,722,112 861,056 430,528 215,264 107,632 53,816 26,908 13,454 6,727 20,182 10,091 30,274 15,137 45,412 22,706 11,353 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549

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