λ
Prime Ledger

4,047,946

2 × 7 × 289139
Deficient Even Composite

4,047,946 has the prime decomposition 2 × 7 × 289139. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 289139
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,939,360
Proper Divisor Sum 2,891,414
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4047929 ← → #4047961

Radix Representation

Decimal 4047946
Binary 1111011100010001001010 (22 bits)
Octal 0o17342112
Hexadecimal 0x3DC44A

Divisor Catalog (8)

1 2 7 14 289,139 578,278 2,023,973 4,047,946

Collatz Trajectory (167 steps to reach 1)

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

4,047,946 2,023,973 6,071,920 3,035,960 1,517,980 758,990 379,495 1,138,486 569,243 1,707,730 853,865 2,561,596 1,280,798 640,399 1,921,198 960,599 2,881,798 1,440,899 4,322,698 2,161,349 6,484,048 3,242,024 1,621,012 810,506 405,253 1,215,760 607,880 303,940 151,970 75,985 227,956 113,978 56,989 170,968 85,484 42,742 21,371 64,114 32,057 96,172 48,086 24,043 72,130 36,065 108,196 54,098 27,049 81,148 40,574 20,287 60,862 30,431 91,294 45,647 136,942 68,471 205,414 102,707 308,122 154,061

More profiles

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