λ
Harmonic Matrix

8,061,133

41 × 196613
Deficient Odd Composite

8,061,133 has digital root 4. The neighboring primes are 8061121 and 8061143; its proper-divisor sum differs from the starting integer by -7,864,478.

Prime Factor Structure

Factorization String 41 × 196613
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,257,788
Proper Divisor Sum 196,655
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8061121 ← → #8061143

Radix Representation

Decimal 8061133
Binary 11110110000000011001101 (23 bits)
Octal 0o36600315
Hexadecimal 0x7B00CD

Divisor Catalog (4)

1 41 196,613 8,061,133

Collatz Trajectory (98 steps to reach 1)

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

8,061,133 24,183,400 12,091,700 6,045,850 3,022,925 9,068,776 4,534,388 2,267,194 1,133,597 3,400,792 1,700,396 850,198 425,099 1,275,298 637,649 1,912,948 956,474 478,237 1,434,712 717,356 358,678 179,339 538,018 269,009 807,028 403,514 201,757 605,272 302,636 151,318 75,659 226,978 113,489 340,468 170,234 85,117 255,352 127,676 63,838 31,919 95,758 47,879 143,638 71,819 215,458 107,729 323,188 161,594 80,797 242,392 121,196 60,598 30,299 90,898 45,449 136,348 68,174 34,087 102,262 51,131

More profiles

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