λ
Harmonic Matrix

8,010,572

22 × 2002643
Deficient Even Composite

8,010,572 has digital root 5. The neighboring primes are 8010557 and 8010589; its proper-divisor sum differs from the starting integer by -2,002,636.

Prime Factor Structure

Factorization String 2^2 × 2002643
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 14,018,508
Proper Divisor Sum 6,007,936
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8010557 ← → #8010589

Radix Representation

Decimal 8010572
Binary 11110100011101101001100 (23 bits)
Octal 0o36435514
Hexadecimal 0x7A3B4C

Divisor Catalog (6)

1 2 4 2,002,643 4,005,286 8,010,572

Collatz Trajectory (142 steps to reach 1)

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

8,010,572 4,005,286 2,002,643 6,007,930 3,003,965 9,011,896 4,505,948 2,252,974 1,126,487 3,379,462 1,689,731 5,069,194 2,534,597 7,603,792 3,801,896 1,900,948 950,474 475,237 1,425,712 712,856 356,428 178,214 89,107 267,322 133,661 400,984 200,492 100,246 50,123 150,370 75,185 225,556 112,778 56,389 169,168 84,584 42,292 21,146 10,573 31,720 15,860 7,930 3,965 11,896 5,948 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476

More profiles

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