λ
Integer Codex

1,006,163

1006163
Deficient Odd Prime

For 1,006,163, the 2 positive divisors have a total of 1,006,164. Removing 1,006,163 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 1006163
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,006,164
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1006153 ← → #1006169

Radix Representation

Decimal 1006163
Binary 11110101101001010011 (20 bits)
Octal 0o3655123
Hexadecimal 0xF5A53

Divisor Catalog (2)

1 1,006,163

Collatz Trajectory (139 steps to reach 1)

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

1,006,163 3,018,490 1,509,245 4,527,736 2,263,868 1,131,934 565,967 1,697,902 848,951 2,546,854 1,273,427 3,820,282 1,910,141 5,730,424 2,865,212 1,432,606 716,303 2,148,910 1,074,455 3,223,366 1,611,683 4,835,050 2,417,525 7,252,576 3,626,288 1,813,144 906,572 453,286 226,643 679,930 339,965 1,019,896 509,948 254,974 127,487 382,462 191,231 573,694 286,847 860,542 430,271 1,290,814 645,407 1,936,222 968,111 2,904,334 1,452,167 4,356,502 2,178,251 6,534,754 3,267,377 9,802,132 4,901,066 2,450,533 7,351,600 3,675,800 1,837,900 918,950 459,475 1,378,426

More profiles

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