67,509,161

241 × 280121

67,509,161 factors as 241 × 280121. Its 4 positive divisors give a proper-divisor sum of 280,363, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 241 × 280121

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 67,789,524

Proper Divisor Sum 280,363

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #67509149 ← → #67509173

Radix Representation

Decimal	67509161
Binary	100000001100001101110101001 (27 bits)
Octal	0o401415651
Hexadecimal	0x4061BA9

Divisor Catalog (4)

1 241 280,121 67,509,161

Collatz Trajectory (215 steps to reach 1)

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

67,509,161 202,527,484 101,263,742 50,631,871 151,895,614 75,947,807 227,843,422 113,921,711 341,765,134 170,882,567 512,647,702 256,323,851 768,971,554 384,485,777 1,153,457,332 576,728,666 288,364,333 865,093,000 432,546,500 216,273,250 108,136,625 324,409,876 162,204,938 81,102,469 243,307,408 121,653,704 60,826,852 30,413,426 15,206,713 45,620,140 22,810,070 11,405,035 34,215,106 17,107,553 51,322,660 25,661,330 12,830,665 38,491,996 19,245,998 9,622,999 28,868,998 14,434,499 43,303,498 21,651,749 64,955,248 32,477,624 16,238,812 8,119,406 4,059,703 12,179,110 6,089,555 18,268,666 9,134,333 27,403,000 13,701,500 6,850,750 3,425,375 10,276,126 5,138,063 15,414,190

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