7,003,048

2³ × 13 × 17² × 233

7,003,048 is even and not a perfect square. Its factorization is 2^3 × 13 × 17^2 × 233 and its 48 divisors sum to 15,085,980.

Prime Factor Structure

Factorization String 2^3 × 13 × 17^2 × 233

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,085,980

Proper Divisor Sum 8,082,932

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7003021 ← → #7003057

Radix Representation

Decimal	7003048
Binary	11010101101101110101000 (23 bits)
Octal	0o32555650
Hexadecimal	0x6ADBA8

Divisor Catalog (48)

1 2 4 8 13 17 26 34 52 68 104 136 221 233 289 442 466 578 884 932 1,156 1,768 1,864 2,312 3,029 3,757 3,961 6,058 7,514 7,922 12,116 15,028 15,844 24,232 30,056 31,688 51,493 67,337 102,986 134,674 205,972 269,348 411,944 538,696 875,381 1,750,762 3,501,524 7,003,048

Collatz Trajectory (129 steps to reach 1)

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

7,003,048 3,501,524 1,750,762 875,381 2,626,144 1,313,072 656,536 328,268 164,134 82,067 246,202 123,101 369,304 184,652 92,326 46,163 138,490 69,245 207,736 103,868 51,934 25,967 77,902 38,951 116,854 58,427 175,282 87,641 262,924 131,462 65,731 197,194 98,597 295,792 147,896 73,948 36,974 18,487 55,462 27,731 83,194 41,597 124,792 62,396 31,198 15,599 46,798 23,399 70,198 35,099 105,298 52,649 157,948 78,974 39,487 118,462 59,231 177,694 88,847 266,542

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