λ
Integer Codex

7,630,993

53 × 143981
Deficient Odd Composite

For 7,630,993, the 4 positive divisors have a total of 7,775,028. Removing 7,630,993 leaves 144,035, which gives the deficient classification.

Prime Factor Structure

Factorization String 53 × 143981
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,775,028
Proper Divisor Sum 144,035
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7630979 ← → #7630999

Radix Representation

Decimal 7630993
Binary 11101000111000010010001 (23 bits)
Octal 0o35070221
Hexadecimal 0x747091

Divisor Catalog (4)

1 53 143,981 7,630,993

Collatz Trajectory (160 steps to reach 1)

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

7,630,993 22,892,980 11,446,490 5,723,245 17,169,736 8,584,868 4,292,434 2,146,217 6,438,652 3,219,326 1,609,663 4,828,990 2,414,495 7,243,486 3,621,743 10,865,230 5,432,615 16,297,846 8,148,923 24,446,770 12,223,385 36,670,156 18,335,078 9,167,539 27,502,618 13,751,309 41,253,928 20,626,964 10,313,482 5,156,741 15,470,224 7,735,112 3,867,556 1,933,778 966,889 2,900,668 1,450,334 725,167 2,175,502 1,087,751 3,263,254 1,631,627 4,894,882 2,447,441 7,342,324 3,671,162 1,835,581 5,506,744 2,753,372 1,376,686 688,343 2,065,030 1,032,515 3,097,546 1,548,773 4,646,320 2,323,160 1,161,580 580,790 290,395

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