λ
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5,141,280

25 × 3 × 5 × 10711
Abundant Even Composite

5,141,280 factors as 2^5 × 3 × 5 × 10711. Its 48 positive divisors give a proper-divisor sum of 11,055,264, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 10711
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,196,544
Proper Divisor Sum 11,055,264
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5141273 ← → #5141309

Radix Representation

Decimal 5141280
Binary 10011100111001100100000 (23 bits)
Octal 0o23471440
Hexadecimal 0x4E7320

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 10,711 21,422 32,133 42,844 53,555 64,266 85,688 107,110 128,532 160,665 171,376 214,220 257,064 321,330 342,752 428,440 514,128 642,660 856,880 1,028,256 1,285,320 1,713,760 2,570,640 5,141,280

Collatz Trajectory (74 steps to reach 1)

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

5,141,280 2,570,640 1,285,320 642,660 321,330 160,665 481,996 240,998 120,499 361,498 180,749 542,248 271,124 135,562 67,781 203,344 101,672 50,836 25,418 12,709 38,128 19,064 9,532 4,766 2,383 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908

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