λ
Prime Ledger

7,005,766

2 × 761 × 4603
Deficient Even Composite

7,005,766 has the prime decomposition 2 × 761 × 4603. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 761 × 4603
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,524,744
Proper Divisor Sum 3,518,978
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7005763 ← → #7005767

Radix Representation

Decimal 7005766
Binary 11010101110011001000110 (23 bits)
Octal 0o32563106
Hexadecimal 0x6AE646

Divisor Catalog (8)

1 2 761 1,522 4,603 9,206 3,502,883 7,005,766

Collatz Trajectory (160 steps to reach 1)

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

7,005,766 3,502,883 10,508,650 5,254,325 15,762,976 7,881,488 3,940,744 1,970,372 985,186 492,593 1,477,780 738,890 369,445 1,108,336 554,168 277,084 138,542 69,271 207,814 103,907 311,722 155,861 467,584 233,792 116,896 58,448 29,224 14,612 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214

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