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Atlas › Integer Profiles › Node 4,861,065

4,861,065

3 × 5 × 11 × 17 × 1733
Deficient Odd Composite

4,861,065 factors as 3 × 5 × 11 × 17 × 1733. Its 32 positive divisors give a proper-divisor sum of 4,127,991, so this integer is deficient. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 17 × 1733
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,989,056
Proper Divisor Sum 4,127,991
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4861063 ← → #4861111

Radix Representation

Decimal 4861065
Binary 10010100010110010001001 (23 bits)
Octal 0o22426211
Hexadecimal 0x4A2C89

Divisor Catalog (32)

1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 1,733 2,805 5,199 8,665 19,063 25,995 29,461 57,189 88,383 95,315 147,305 285,945 324,071 441,915 972,213 1,620,355 4,861,065

Collatz Trajectory (237 steps to reach 1)

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

4,861,065 14,583,196 7,291,598 3,645,799 10,937,398 5,468,699 16,406,098 8,203,049 24,609,148 12,304,574 6,152,287 18,456,862 9,228,431 27,685,294 13,842,647 41,527,942 20,763,971 62,291,914 31,145,957 93,437,872 46,718,936 23,359,468 11,679,734 5,839,867 17,519,602 8,759,801 26,279,404 13,139,702 6,569,851 19,709,554 9,854,777 29,564,332 14,782,166 7,391,083 22,173,250 11,086,625 33,259,876 16,629,938 8,314,969 24,944,908 12,472,454 6,236,227 18,708,682 9,354,341 28,063,024 14,031,512 7,015,756 3,507,878 1,753,939 5,261,818 2,630,909 7,892,728 3,946,364 1,973,182 986,591 2,959,774 1,479,887 4,439,662 2,219,831 6,659,494

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