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Atlas › Integer Profiles › Node 25,317,248

25,317,248

27 × 11 × 17981
Abundant Even Composite

25,317,248 factors as 2^7 × 11 × 17981. Its 32 positive divisors give a proper-divisor sum of 29,707,672, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^7 × 11 × 17981
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 55,024,920
Proper Divisor Sum 29,707,672
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #25317247 ← → #25317263

Radix Representation

Decimal 25317248
Binary 1100000100100111110000000 (25 bits)
Octal 0o140447600
Hexadecimal 0x1824F80

Divisor Catalog (32)

1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1,408 17,981 35,962 71,924 143,848 197,791 287,696 395,582 575,392 791,164 1,150,784 1,582,328 2,301,568 3,164,656 6,329,312 12,658,624 25,317,248

Collatz Trajectory (154 steps to reach 1)

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

25,317,248 12,658,624 6,329,312 3,164,656 1,582,328 791,164 395,582 197,791 593,374 296,687 890,062 445,031 1,335,094 667,547 2,002,642 1,001,321 3,003,964 1,501,982 750,991 2,252,974 1,126,487 3,379,462 1,689,731 5,069,194 2,534,597 7,603,792 3,801,896 1,900,948 950,474 475,237 1,425,712 712,856 356,428 178,214 89,107 267,322 133,661 400,984 200,492 100,246 50,123 150,370 75,185 225,556 112,778 56,389 169,168 84,584 42,292 21,146 10,573 31,720 15,860 7,930 3,965 11,896 5,948 2,974 1,487 4,462

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