λ
Prime Ledger

2,580,005

5 × 17 × 127 × 239
Deficient Odd Composite

2,580,005 has the prime decomposition 5 × 17 × 127 × 239. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 17 × 127 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,317,760
Proper Divisor Sum 737,755
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2579999 ← → #2580031

Radix Representation

Decimal 2580005
Binary 1001110101111000100101 (22 bits)
Octal 0o11657045
Hexadecimal 0x275E25

Divisor Catalog (16)

1 5 17 85 127 239 635 1,195 2,159 4,063 10,795 20,315 30,353 151,765 516,001 2,580,005

Collatz Trajectory (99 steps to reach 1)

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

2,580,005 7,740,016 3,870,008 1,935,004 967,502 483,751 1,451,254 725,627 2,176,882 1,088,441 3,265,324 1,632,662 816,331 2,448,994 1,224,497 3,673,492 1,836,746 918,373 2,755,120 1,377,560 688,780 344,390 172,195 516,586 258,293 774,880 387,440 193,720 96,860 48,430 24,215 72,646 36,323 108,970 54,485 163,456 81,728 40,864 20,432 10,216 5,108 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734

More profiles

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