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Atlas › Integer Profiles › Node 5,869,736

5,869,736

23 × 47 × 67 × 233
Deficient Even Composite

5,869,736 factors as 2^3 × 47 × 67 × 233. Its 32 positive divisors give a proper-divisor sum of 5,586,904, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^3 × 47 × 67 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,456,640
Proper Divisor Sum 5,586,904
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #5869691 ← → #5869739

Radix Representation

Decimal 5869736
Binary 10110011001000010101000 (23 bits)
Octal 0o26310250
Hexadecimal 0x5990A8

Divisor Catalog (32)

1 2 4 8 47 67 94 134 188 233 268 376 466 536 932 1,864 3,149 6,298 10,951 12,596 15,611 21,902 25,192 31,222 43,804 62,444 87,608 124,888 733,717 1,467,434 2,934,868 5,869,736

Collatz Trajectory (77 steps to reach 1)

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

5,869,736 2,934,868 1,467,434 733,717 2,201,152 1,100,576 550,288 275,144 137,572 68,786 34,393 103,180 51,590 25,795 77,386 38,693 116,080 58,040 29,020 14,510 7,255 21,766 10,883 32,650 16,325 48,976 24,488 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29

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