λ
Harmonic Matrix

179,481

3 × 29 × 2063
Deficient Odd Composite

179,481 has digital root 3. The neighboring primes are 179479 and 179483; its proper-divisor sum differs from the starting integer by -111,282.

Prime Factor Structure

Factorization String 3 × 29 × 2063
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 247,680
Proper Divisor Sum 68,199
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #179479 ← → #179483

Radix Representation

Decimal 179481
Binary 101011110100011001 (18 bits)
Octal 0o536431
Hexadecimal 0x2BD19

Divisor Catalog (8)

1 3 29 87 2,063 6,189 59,827 179,481

Collatz Trajectory (116 steps to reach 1)

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

179,481 538,444 269,222 134,611 403,834 201,917 605,752 302,876 151,438 75,719 227,158 113,579 340,738 170,369 511,108 255,554 127,777 383,332 191,666 95,833 287,500 143,750 71,875 215,626 107,813 323,440 161,720 80,860 40,430 20,215 60,646 30,323 90,970 45,485 136,456 68,228 34,114 17,057 51,172 25,586 12,793 38,380 19,190 9,595 28,786 14,393 43,180 21,590 10,795 32,386 16,193 48,580 24,290 12,145 36,436 18,218 9,109 27,328 13,664 6,832

More profiles

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