λ
Integer Codex

8,322,929

8322929
Deficient Odd Prime

For 8,322,929, the 2 positive divisors have a total of 8,322,930. Removing 8,322,929 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8322929
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,322,930
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8322917 ← → #8322947

Radix Representation

Decimal 8322929
Binary 11111101111111101110001 (23 bits)
Octal 0o37577561
Hexadecimal 0x7EFF71

Divisor Catalog (2)

Collatz Trajectory (199 steps to reach 1)

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

8,322,929 24,968,788 12,484,394 6,242,197 18,726,592 9,363,296 4,681,648 2,340,824 1,170,412 585,206 292,603 877,810 438,905 1,316,716 658,358 329,179 987,538 493,769 1,481,308 740,654 370,327 1,110,982 555,491 1,666,474 833,237 2,499,712 1,249,856 624,928 312,464 156,232 78,116 39,058 19,529 58,588 29,294 14,647 43,942 21,971 65,914 32,957 98,872 49,436 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798

More profiles

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