λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,087,328

5,087,328

25 × 3 × 197 × 269
Abundant Even Composite

5,087,328 factors as 2^5 × 3 × 197 × 269. Its 48 positive divisors give a proper-divisor sum of 8,384,592, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 197 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,471,920
Proper Divisor Sum 8,384,592
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5087323 ← → #5087351

Radix Representation

Decimal 5087328
Binary 10011011010000001100000 (23 bits)
Octal 0o23320140
Hexadecimal 0x4DA060

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 96 197 269 394 538 591 788 807 1,076 1,182 1,576 1,614 2,152 2,364 3,152 3,228 4,304 4,728 6,304 6,456 8,608 9,456 12,912 18,912 25,824 52,993 105,986 158,979 211,972 317,958 423,944 635,916 847,888 1,271,832 1,695,776 2,543,664 5,087,328

Collatz Trajectory (175 steps to reach 1)

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

5,087,328 2,543,664 1,271,832 635,916 317,958 158,979 476,938 238,469 715,408 357,704 178,852 89,426 44,713 134,140 67,070 33,535 100,606 50,303 150,910 75,455 226,366 113,183 339,550 169,775 509,326 254,663 763,990 381,995 1,145,986 572,993 1,718,980 859,490 429,745 1,289,236 644,618 322,309 966,928 483,464 241,732 120,866 60,433 181,300 90,650 45,325 135,976 67,988 33,994 16,997 50,992 25,496 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,087,327 Browse Full Index Next Integer #5,087,329 →