301,202

2 × 11 × 13691

301,202 factors as 2 × 11 × 13691. Its 8 positive divisors give a proper-divisor sum of 191,710, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13691

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 492,912

Proper Divisor Sum 191,710

Digit Sum / Digital Root 8 (Root: 8)

Adjacent Primes #301183 ← → #301211

Radix Representation

Decimal	301202
Binary	1001001100010010010 (19 bits)
Octal	0o1114222
Hexadecimal	0x49892

Divisor Catalog (8)

1 2 11 22 13,691 27,382 150,601 301,202

Collatz Trajectory (140 steps to reach 1)

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

301,202 150,601 451,804 225,902 112,951 338,854 169,427 508,282 254,141 762,424 381,212 190,606 95,303 285,910 142,955 428,866 214,433 643,300 321,650 160,825 482,476 241,238 120,619 361,858 180,929 542,788 271,394 135,697 407,092 203,546 101,773 305,320 152,660 76,330 38,165 114,496 57,248 28,624 14,312 7,156 3,578 1,789 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482

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