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Atlas › Integer Profiles › Node 25,084,240

25,084,240

24 × 5 × 313553
Abundant Even Composite

25,084,240 factors as 2^4 × 5 × 313553. Its 20 positive divisors give a proper-divisor sum of 33,236,804, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 313553
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 58,321,044
Proper Divisor Sum 33,236,804
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #25084223 ← → #25084243

Radix Representation

Decimal 25084240
Binary 1011111101100000101010000 (25 bits)
Octal 0o137540520
Hexadecimal 0x17EC150

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 313,553 627,106 1,254,212 1,567,765 2,508,424 3,135,530 5,016,848 6,271,060 12,542,120 25,084,240

Collatz Trajectory (198 steps to reach 1)

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

25,084,240 12,542,120 6,271,060 3,135,530 1,567,765 4,703,296 2,351,648 1,175,824 587,912 293,956 146,978 73,489 220,468 110,234 55,117 165,352 82,676 41,338 20,669 62,008 31,004 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426

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