λ
Math Directory

8,492,241

3 × 907 × 3121
Deficient Odd Composite

8,492,241 factors as 3 × 907 × 3121. Its 8 positive divisors give a proper-divisor sum of 2,846,863, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 3 × 907 × 3121
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,339,104
Proper Divisor Sum 2,846,863
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8492201 ← → #8492249

Radix Representation

Decimal 8492241
Binary 100000011001010011010001 (24 bits)
Octal 0o40312321
Hexadecimal 0x8194D1

Divisor Catalog (8)

1 3 907 2,721 3,121 9,363 2,830,747 8,492,241

Collatz Trajectory (106 steps to reach 1)

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

8,492,241 25,476,724 12,738,362 6,369,181 19,107,544 9,553,772 4,776,886 2,388,443 7,165,330 3,582,665 10,747,996 5,373,998 2,686,999 8,060,998 4,030,499 12,091,498 6,045,749 18,137,248 9,068,624 4,534,312 2,267,156 1,133,578 566,789 1,700,368 850,184 425,092 212,546 106,273 318,820 159,410 79,705 239,116 119,558 59,779 179,338 89,669 269,008 134,504 67,252 33,626 16,813 50,440 25,220 12,610 6,305 18,916 9,458 4,729 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981

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