λ
Integer Codex

7,777,643

7777643
Deficient Odd Prime

For 7,777,643, the 2 positive divisors have a total of 7,777,644. Removing 7,777,643 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 7777643
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,777,644
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7777613 ← → #7777663

Radix Representation

Decimal 7777643
Binary 11101101010110101101011 (23 bits)
Octal 0o35526553
Hexadecimal 0x76AD6B

Divisor Catalog (2)

Collatz Trajectory (173 steps to reach 1)

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

7,777,643 23,332,930 11,666,465 34,999,396 17,499,698 8,749,849 26,249,548 13,124,774 6,562,387 19,687,162 9,843,581 29,530,744 14,765,372 7,382,686 3,691,343 11,074,030 5,537,015 16,611,046 8,305,523 24,916,570 12,458,285 37,374,856 18,687,428 9,343,714 4,671,857 14,015,572 7,007,786 3,503,893 10,511,680 5,255,840 2,627,920 1,313,960 656,980 328,490 164,245 492,736 246,368 123,184 61,592 30,796 15,398 7,699 23,098 11,549 34,648 17,324 8,662 4,331 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483 16,450 8,225

More profiles

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