λ
Harmonic Matrix

2,662,575

3 × 52 × 131 × 271
Deficient Odd Composite

2,662,575 has digital root 6. The neighboring primes are 2662567 and 2662601; its proper-divisor sum differs from the starting integer by -873,054.

Prime Factor Structure

Factorization String 3 × 5^2 × 131 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,452,096
Proper Divisor Sum 1,789,521
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2662567 ← → #2662601

Radix Representation

Decimal 2662575
Binary 1010001010000010101111 (22 bits)
Octal 0o12120257
Hexadecimal 0x28A0AF

Divisor Catalog (24)

1 3 5 15 25 75 131 271 393 655 813 1,355 1,965 3,275 4,065 6,775 9,825 20,325 35,501 106,503 177,505 532,515 887,525 2,662,575

Collatz Trajectory (125 steps to reach 1)

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

2,662,575 7,987,726 3,993,863 11,981,590 5,990,795 17,972,386 8,986,193 26,958,580 13,479,290 6,739,645 20,218,936 10,109,468 5,054,734 2,527,367 7,582,102 3,791,051 11,373,154 5,686,577 17,059,732 8,529,866 4,264,933 12,794,800 6,397,400 3,198,700 1,599,350 799,675 2,399,026 1,199,513 3,598,540 1,799,270 899,635 2,698,906 1,349,453 4,048,360 2,024,180 1,012,090 506,045 1,518,136 759,068 379,534 189,767 569,302 284,651 853,954 426,977 1,280,932 640,466 320,233 960,700 480,350 240,175 720,526 360,263 1,080,790 540,395 1,621,186 810,593 2,431,780 1,215,890 607,945

More profiles

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