5,282,004

2² × 3 × 7² × 13 × 691

5,282,004 factors as 2^2 × 3 × 7^2 × 13 × 691. Its 72 positive divisors give a proper-divisor sum of 10,180,044, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 13 × 691

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 15,462,048

Proper Divisor Sum 10,180,044

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #5281999 ← → #5282023

Radix Representation

Decimal	5282004
Binary	10100001001100011010100 (23 bits)
Octal	0o24114324
Hexadecimal	0x5098D4

Divisor Catalog (60 of 72)

1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 691 1,092 1,274 1,382 1,911 2,073 2,548 2,764 3,822 4,146 4,837 7,644 8,292 8,983 9,674 14,511 17,966 19,348 26,949 29,022 33,859 35,932 53,898 58,044 62,881 67,718 101,577 107,796 125,762 135,436

Collatz Trajectory (188 steps to reach 1)

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

5,282,004 2,641,002 1,320,501 3,961,504 1,980,752 990,376 495,188 247,594 123,797 371,392 185,696 92,848 46,424 23,212 11,606 5,803 17,410 8,705 26,116 13,058 6,529 19,588 9,794 4,897 14,692 7,346 3,673 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,282,003 Browse Full Index Next Integer #5,282,005 →