λ
Harmonic Matrix

510,181

7 × 72883
Deficient Odd Composite

510,181 has digital root 7. The neighboring primes are 510179 and 510199; its proper-divisor sum differs from the starting integer by -437,290.

Prime Factor Structure

Factorization String 7 × 72883
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 583,072
Proper Divisor Sum 72,891
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #510179 ← → #510199

Radix Representation

Decimal 510181
Binary 1111100100011100101 (19 bits)
Octal 0o1744345
Hexadecimal 0x7C8E5

Divisor Catalog (4)

1 7 72,883 510,181

Collatz Trajectory (182 steps to reach 1)

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

510,181 1,530,544 765,272 382,636 191,318 95,659 286,978 143,489 430,468 215,234 107,617 322,852 161,426 80,713 242,140 121,070 60,535 181,606 90,803 272,410 136,205 408,616 204,308 102,154 51,077 153,232 76,616 38,308 19,154 9,577 28,732 14,366 7,183 21,550 10,775 32,326 16,163 48,490 24,245 72,736 36,368 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438

More profiles

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