λ
Math Directory

3,851,003

132 × 22787
Deficient Odd Composite

3,851,003 factors as 13^2 × 22787. Its 6 positive divisors give a proper-divisor sum of 319,201, so this integer is deficient. The Collatz stopping time is 260 steps.

Prime Factor Structure

Factorization String 13^2 × 22787
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 4,170,204
Proper Divisor Sum 319,201
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3850981 ← → #3851009

Radix Representation

Decimal 3851003
Binary 1110101100001011111011 (22 bits)
Octal 0o16541373
Hexadecimal 0x3AC2FB

Divisor Catalog (6)

1 13 169 22,787 296,231 3,851,003

Collatz Trajectory (260 steps to reach 1)

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

3,851,003 11,553,010 5,776,505 17,329,516 8,664,758 4,332,379 12,997,138 6,498,569 19,495,708 9,747,854 4,873,927 14,621,782 7,310,891 21,932,674 10,966,337 32,899,012 16,449,506 8,224,753 24,674,260 12,337,130 6,168,565 18,505,696 9,252,848 4,626,424 2,313,212 1,156,606 578,303 1,734,910 867,455 2,602,366 1,301,183 3,903,550 1,951,775 5,855,326 2,927,663 8,782,990 4,391,495 13,174,486 6,587,243 19,761,730 9,880,865 29,642,596 14,821,298 7,410,649 22,231,948 11,115,974 5,557,987 16,673,962 8,336,981 25,010,944 12,505,472 6,252,736 3,126,368 1,563,184 781,592 390,796 195,398 97,699 293,098 146,549

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