λ
Prime Ledger

7,776,129

3 × 2592043
Deficient Odd Composite

7,776,129 has the prime decomposition 3 × 2592043. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2592043
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,368,176
Proper Divisor Sum 2,592,047
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7776127 ← → #7776143

Radix Representation

Decimal 7776129
Binary 11101101010011110000001 (23 bits)
Octal 0o35523601
Hexadecimal 0x76A781

Divisor Catalog (4)

1 3 2,592,043 7,776,129

Collatz Trajectory (248 steps to reach 1)

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

7,776,129 23,328,388 11,664,194 5,832,097 17,496,292 8,748,146 4,374,073 13,122,220 6,561,110 3,280,555 9,841,666 4,920,833 14,762,500 7,381,250 3,690,625 11,071,876 5,535,938 2,767,969 8,303,908 4,151,954 2,075,977 6,227,932 3,113,966 1,556,983 4,670,950 2,335,475 7,006,426 3,503,213 10,509,640 5,254,820 2,627,410 1,313,705 3,941,116 1,970,558 985,279 2,955,838 1,477,919 4,433,758 2,216,879 6,650,638 3,325,319 9,975,958 4,987,979 14,963,938 7,481,969 22,445,908 11,222,954 5,611,477 16,834,432 8,417,216 4,208,608 2,104,304 1,052,152 526,076 263,038 131,519 394,558 197,279 591,838 295,919

More profiles

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