λ
Prime Ledger

4,141,744

24 × 17 × 15227
Abundant Even Composite

4,141,744 has the prime decomposition 2^4 × 17 × 15227. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 17 × 15227
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,497,224
Proper Divisor Sum 4,355,480
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4141723 ← → #4141747

Radix Representation

Decimal 4141744
Binary 1111110011001010110000 (22 bits)
Octal 0o17631260
Hexadecimal 0x3F32B0

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 15,227 30,454 60,908 121,816 243,632 258,859 517,718 1,035,436 2,070,872 4,141,744

Collatz Trajectory (136 steps to reach 1)

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

4,141,744 2,070,872 1,035,436 517,718 258,859 776,578 388,289 1,164,868 582,434 291,217 873,652 436,826 218,413 655,240 327,620 163,810 81,905 245,716 122,858 61,429 184,288 92,144 46,072 23,036 11,518 5,759 17,278 8,639 25,918 12,959 38,878 19,439 58,318 29,159 87,478 43,739 131,218 65,609 196,828 98,414 49,207 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558 62,279 186,838 93,419 280,258 140,129 420,388 210,194 105,097 315,292 157,646

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