λ
Harmonic Matrix

3,165,179

17 × 186187
Deficient Odd Composite

3,165,179 has digital root 5. The neighboring primes are 3165163 and 3165181; its proper-divisor sum differs from the starting integer by -2,978,974.

Prime Factor Structure

Factorization String 17 × 186187
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,351,384
Proper Divisor Sum 186,205
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3165163 ← → #3165181

Radix Representation

Decimal 3165179
Binary 1100000100101111111011 (22 bits)
Octal 0o14045773
Hexadecimal 0x304BFB

Divisor Catalog (4)

1 17 186,187 3,165,179

Collatz Trajectory (151 steps to reach 1)

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

3,165,179 9,495,538 4,747,769 14,243,308 7,121,654 3,560,827 10,682,482 5,341,241 16,023,724 8,011,862 4,005,931 12,017,794 6,008,897 18,026,692 9,013,346 4,506,673 13,520,020 6,760,010 3,380,005 10,140,016 5,070,008 2,535,004 1,267,502 633,751 1,901,254 950,627 2,851,882 1,425,941 4,277,824 2,138,912 1,069,456 534,728 267,364 133,682 66,841 200,524 100,262 50,131 150,394 75,197 225,592 112,796 56,398 28,199 84,598 42,299 126,898 63,449 190,348 95,174 47,587 142,762 71,381 214,144 107,072 53,536 26,768 13,384 6,692 3,346

More profiles

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