λ
Integer Codex

9,187,435

5 × 911 × 2017
Deficient Odd Composite

For 9,187,435, the 8 positive divisors have a total of 11,042,496. Removing 9,187,435 leaves 1,855,061, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 911 × 2017
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,042,496
Proper Divisor Sum 1,855,061
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9187427 ← → #9187441

Radix Representation

Decimal 9187435
Binary 100011000011000001101011 (24 bits)
Octal 0o43030153
Hexadecimal 0x8C306B

Divisor Catalog (8)

1 5 911 2,017 4,555 10,085 1,837,487 9,187,435

Collatz Trajectory (106 steps to reach 1)

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

9,187,435 27,562,306 13,781,153 41,343,460 20,671,730 10,335,865 31,007,596 15,503,798 7,751,899 23,255,698 11,627,849 34,883,548 17,441,774 8,720,887 26,162,662 13,081,331 39,243,994 19,621,997 58,865,992 29,432,996 14,716,498 7,358,249 22,074,748 11,037,374 5,518,687 16,556,062 8,278,031 24,834,094 12,417,047 37,251,142 18,625,571 55,876,714 27,938,357 83,815,072 41,907,536 20,953,768 10,476,884 5,238,442 2,619,221 7,857,664 3,928,832 1,964,416 982,208 491,104 245,552 122,776 61,388 30,694 15,347 46,042 23,021 69,064 34,532 17,266 8,633 25,900 12,950 6,475 19,426 9,713

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