λ
Harmonic Matrix

160,391

7 × 11 × 2083
Deficient Odd Composite

160,391 has digital root 2. The neighboring primes are 160387 and 160397; its proper-divisor sum differs from the starting integer by -120,718.

Prime Factor Structure

Factorization String 7 × 11 × 2083
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 200,064
Proper Divisor Sum 39,673
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #160387 ← → #160397

Radix Representation

Decimal 160391
Binary 100111001010000111 (18 bits)
Octal 0o471207
Hexadecimal 0x27287

Divisor Catalog (8)

1 7 11 77 2,083 14,581 22,913 160,391

Collatz Trajectory (69 steps to reach 1)

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

160,391 481,174 240,587 721,762 360,881 1,082,644 541,322 270,661 811,984 405,992 202,996 101,498 50,749 152,248 76,124 38,062 19,031 57,094 28,547 85,642 42,821 128,464 64,232 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024

More profiles

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