λ
Sigma Notebook

7,997,062

2 × 19 × 389 × 541
Deficient Even Composite

7,997,062 is even and not a perfect square. Its factorization is 2 × 19 × 389 × 541 and its 16 divisors sum to 12,682,800.

Prime Factor Structure

Factorization String 2 × 19 × 389 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,682,800
Proper Divisor Sum 4,685,738
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7997057 ← → #7997071

Radix Representation

Decimal 7997062
Binary 11110100000011010000110 (23 bits)
Octal 0o36403206
Hexadecimal 0x7A0686

Divisor Catalog (16)

1 2 19 38 389 541 778 1,082 7,391 10,279 14,782 20,558 210,449 420,898 3,998,531 7,997,062

Collatz Trajectory (186 steps to reach 1)

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

7,997,062 3,998,531 11,995,594 5,997,797 17,993,392 8,996,696 4,498,348 2,249,174 1,124,587 3,373,762 1,686,881 5,060,644 2,530,322 1,265,161 3,795,484 1,897,742 948,871 2,846,614 1,423,307 4,269,922 2,134,961 6,404,884 3,202,442 1,601,221 4,803,664 2,401,832 1,200,916 600,458 300,229 900,688 450,344 225,172 112,586 56,293 168,880 84,440 42,220 21,110 10,555 31,666 15,833 47,500 23,750 11,875 35,626 17,813 53,440 26,720 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940 470 235

More profiles

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