λ
Integer Codex

1,763,311

11 × 31 × 5171
Deficient Odd Composite

For 1,763,311, the 8 positive divisors have a total of 1,986,048. Removing 1,763,311 leaves 222,737, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 31 × 5171
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,986,048
Proper Divisor Sum 222,737
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1763303 ← → #1763323

Radix Representation

Decimal 1763311
Binary 110101110011111101111 (21 bits)
Octal 0o6563757
Hexadecimal 0x1AE7EF

Divisor Catalog (8)

1 11 31 341 5,171 56,881 160,301 1,763,311

Collatz Trajectory (220 steps to reach 1)

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

1,763,311 5,289,934 2,644,967 7,934,902 3,967,451 11,902,354 5,951,177 17,853,532 8,926,766 4,463,383 13,390,150 6,695,075 20,085,226 10,042,613 30,127,840 15,063,920 7,531,960 3,765,980 1,882,990 941,495 2,824,486 1,412,243 4,236,730 2,118,365 6,355,096 3,177,548 1,588,774 794,387 2,383,162 1,191,581 3,574,744 1,787,372 893,686 446,843 1,340,530 670,265 2,010,796 1,005,398 502,699 1,508,098 754,049 2,262,148 1,131,074 565,537 1,696,612 848,306 424,153 1,272,460 636,230 318,115 954,346 477,173 1,431,520 715,760 357,880 178,940 89,470 44,735 134,206 67,103

More profiles

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