λ
Prime Ledger

7,331,529

3 × 61 × 40063
Deficient Odd Composite

7,331,529 has the prime decomposition 3 × 61 × 40063. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 61 × 40063
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,935,872
Proper Divisor Sum 2,604,343
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7331509 ← → #7331537

Radix Representation

Decimal 7331529
Binary 11011111101111011001001 (23 bits)
Octal 0o33757311
Hexadecimal 0x6FDEC9

Divisor Catalog (8)

1 3 61 183 40,063 120,189 2,443,843 7,331,529

Collatz Trajectory (372 steps to reach 1)

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

7,331,529 21,994,588 10,997,294 5,498,647 16,495,942 8,247,971 24,743,914 12,371,957 37,115,872 18,557,936 9,278,968 4,639,484 2,319,742 1,159,871 3,479,614 1,739,807 5,219,422 2,609,711 7,829,134 3,914,567 11,743,702 5,871,851 17,615,554 8,807,777 26,423,332 13,211,666 6,605,833 19,817,500 9,908,750 4,954,375 14,863,126 7,431,563 22,294,690 11,147,345 33,442,036 16,721,018 8,360,509 25,081,528 12,540,764 6,270,382 3,135,191 9,405,574 4,702,787 14,108,362 7,054,181 21,162,544 10,581,272 5,290,636 2,645,318 1,322,659 3,967,978 1,983,989 5,951,968 2,975,984 1,487,992 743,996 371,998 185,999 557,998 278,999

More profiles

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