5,712,289

11² × 17 × 2777

5,712,289 factors as 11^2 × 17 × 2777. Its 12 positive divisors give a proper-divisor sum of 938,243, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 11^2 × 17 × 2777

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,650,532

Proper Divisor Sum 938,243

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #5712283 ← → #5712299

Radix Representation

Decimal	5712289
Binary	10101110010100110100001 (23 bits)
Octal	0o25624641
Hexadecimal	0x5729A1

Divisor Catalog (12)

1 11 17 121 187 2,057 2,777 30,547 47,209 336,017 519,299 5,712,289

Collatz Trajectory (139 steps to reach 1)

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

5,712,289 17,136,868 8,568,434 4,284,217 12,852,652 6,426,326 3,213,163 9,639,490 4,819,745 14,459,236 7,229,618 3,614,809 10,844,428 5,422,214 2,711,107 8,133,322 4,066,661 12,199,984 6,099,992 3,049,996 1,524,998 762,499 2,287,498 1,143,749 3,431,248 1,715,624 857,812 428,906 214,453 643,360 321,680 160,840 80,420 40,210 20,105 60,316 30,158 15,079 45,238 22,619 67,858 33,929 101,788 50,894 25,447 76,342 38,171 114,514 57,257 171,772 85,886 42,943 128,830 64,415 193,246 96,623 289,870 144,935 434,806 217,403

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