λ
Prime Ledger

2,740,264

23 × 17 × 20149
Deficient Even Composite

2,740,264 has the prime decomposition 2^3 × 17 × 20149. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 17 × 20149
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,440,500
Proper Divisor Sum 2,700,236
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2740249 ← → #2740267

Radix Representation

Decimal 2740264
Binary 1010011101000000101000 (22 bits)
Octal 0o12350050
Hexadecimal 0x29D028

Divisor Catalog (16)

1 2 4 8 17 34 68 136 20,149 40,298 80,596 161,192 342,533 685,066 1,370,132 2,740,264

Collatz Trajectory (200 steps to reach 1)

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

2,740,264 1,370,132 685,066 342,533 1,027,600 513,800 256,900 128,450 64,225 192,676 96,338 48,169 144,508 72,254 36,127 108,382 54,191 162,574 81,287 243,862 121,931 365,794 182,897 548,692 274,346 137,173 411,520 205,760 102,880 51,440 25,720 12,860 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902

More profiles

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