λ
Prime Ledger

40,947

3 × 13649
Deficient Odd Composite

40,947 has the prime decomposition 3 × 13649. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 13649
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 54,600
Proper Divisor Sum 13,653
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #40939 ← → #40949

Radix Representation

Decimal 40947
Binary 1001111111110011 (16 bits)
Octal 0o117763
Hexadecimal 0x9FF3

Divisor Catalog (4)

1 3 13,649 40,947

Collatz Trajectory (137 steps to reach 1)

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

40,947 122,842 61,421 184,264 92,132 46,066 23,033 69,100 34,550 17,275 51,826 25,913 77,740 38,870 19,435 58,306 29,153 87,460 43,730 21,865 65,596 32,798 16,399 49,198 24,599 73,798 36,899 110,698 55,349 166,048 83,024 41,512 20,756 10,378 5,189 15,568 7,784 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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