7,008,862

2 × 7³ × 17 × 601

7,008,862 is even and not a perfect square. Its factorization is 2 × 7^3 × 17 × 601 and its 32 divisors sum to 13,003,200.

Prime Factor Structure

Factorization String 2 × 7^3 × 17 × 601

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,003,200

Proper Divisor Sum 5,994,338

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7008857 ← → #7008887

Radix Representation

Decimal	7008862
Binary	11010101111001001011110 (23 bits)
Octal	0o32571136
Hexadecimal	0x6AF25E

Divisor Catalog (32)

1 2 7 14 17 34 49 98 119 238 343 601 686 833 1,202 1,666 4,207 5,831 8,414 10,217 11,662 20,434 29,449 58,898 71,519 143,038 206,143 412,286 500,633 1,001,266 3,504,431 7,008,862

Collatz Trajectory (72 steps to reach 1)

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

7,008,862 3,504,431 10,513,294 5,256,647 15,769,942 7,884,971 23,654,914 11,827,457 35,482,372 17,741,186 8,870,593 26,611,780 13,305,890 6,652,945 19,958,836 9,979,418 4,989,709 14,969,128 7,484,564 3,742,282 1,871,141 5,613,424 2,806,712 1,403,356 701,678 350,839 1,052,518 526,259 1,578,778 789,389 2,368,168 1,184,084 592,042 296,021 888,064 444,032 222,016 111,008 55,504 27,752 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35

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