λ
Prime Ledger

4,424,260

22 × 5 × 157 × 1409
Abundant Even Composite

4,424,260 has the prime decomposition 2^2 × 5 × 157 × 1409. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 157 × 1409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,356,760
Proper Divisor Sum 4,932,500
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4424249 ← → #4424261

Radix Representation

Decimal 4424260
Binary 10000111000001001000100 (23 bits)
Octal 0o20701104
Hexadecimal 0x438244

Divisor Catalog (24)

1 2 4 5 10 20 157 314 628 785 1,409 1,570 2,818 3,140 5,636 7,045 14,090 28,180 221,213 442,426 884,852 1,106,065 2,212,130 4,424,260

Collatz Trajectory (136 steps to reach 1)

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

4,424,260 2,212,130 1,106,065 3,318,196 1,659,098 829,549 2,488,648 1,244,324 622,162 311,081 933,244 466,622 233,311 699,934 349,967 1,049,902 524,951 1,574,854 787,427 2,362,282 1,181,141 3,543,424 1,771,712 885,856 442,928 221,464 110,732 55,366 27,683 83,050 41,525 124,576 62,288 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790

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