λ
Prime Ledger

2,741,474

2 × 509 × 2693
Deficient Even Composite

2,741,474 has the prime decomposition 2 × 509 × 2693. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 509 × 2693
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,121,820
Proper Divisor Sum 1,380,346
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2741449 ← → #2741483

Radix Representation

Decimal 2741474
Binary 1010011101010011100010 (22 bits)
Octal 0o12352342
Hexadecimal 0x29D4E2

Divisor Catalog (8)

1 2 509 1,018 2,693 5,386 1,370,737 2,741,474

Collatz Trajectory (244 steps to reach 1)

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

2,741,474 1,370,737 4,112,212 2,056,106 1,028,053 3,084,160 1,542,080 771,040 385,520 192,760 96,380 48,190 24,095 72,286 36,143 108,430 54,215 162,646 81,323 243,970 121,985 365,956 182,978 91,489 274,468 137,234 68,617 205,852 102,926 51,463 154,390 77,195 231,586 115,793 347,380 173,690 86,845 260,536 130,268 65,134 32,567 97,702 48,851 146,554 73,277 219,832 109,916 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593 34,780 17,390

More profiles

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