362,271

3 × 7 × 13 × 1327

362,271 has digital root 3. The neighboring primes are 362237 and 362281; its proper-divisor sum differs from the starting integer by -129,598.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 1327

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 594,944

Proper Divisor Sum 232,673

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #362237 ← → #362281

Radix Representation

Decimal	362271
Binary	1011000011100011111 (19 bits)
Octal	0o1303437
Hexadecimal	0x5871F

Divisor Catalog (16)

1 3 7 13 21 39 91 273 1,327 3,981 9,289 17,251 27,867 51,753 120,757 362,271

Collatz Trajectory (73 steps to reach 1)

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

362,271 1,086,814 543,407 1,630,222 815,111 2,445,334 1,222,667 3,668,002 1,834,001 5,502,004 2,751,002 1,375,501 4,126,504 2,063,252 1,031,626 515,813 1,547,440 773,720 386,860 193,430 96,715 290,146 145,073 435,220 217,610 108,805 326,416 163,208 81,604 40,802 20,401 61,204 30,602 15,301 45,904 22,952 11,476 5,738 2,869 8,608 4,304 2,152 1,076 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11

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