λ
Harmonic Matrix

327,177

32 × 36353
Deficient Odd Composite

327,177 has digital root 9. The neighboring primes are 327163 and 327179; its proper-divisor sum differs from the starting integer by -181,752.

Prime Factor Structure

Factorization String 3^2 × 36353
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 472,602
Proper Divisor Sum 145,425
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #327163 ← → #327179

Radix Representation

Decimal 327177
Binary 1001111111000001001 (19 bits)
Octal 0o1177011
Hexadecimal 0x4FE09

Divisor Catalog (6)

1 3 9 36,353 109,059 327,177

Collatz Trajectory (96 steps to reach 1)

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

327,177 981,532 490,766 245,383 736,150 368,075 1,104,226 552,113 1,656,340 828,170 414,085 1,242,256 621,128 310,564 155,282 77,641 232,924 116,462 58,231 174,694 87,347 262,042 131,021 393,064 196,532 98,266 49,133 147,400 73,700 36,850 18,425 55,276 27,638 13,819 41,458 20,729 62,188 31,094 15,547 46,642 23,321 69,964 34,982 17,491 52,474 26,237 78,712 39,356 19,678 9,839 29,518 14,759 44,278 22,139 66,418 33,209 99,628 49,814 24,907 74,722

More profiles

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