λ
Harmonic Matrix

169,192

23 × 21149
Deficient Even Composite

169,192 has digital root 1. The neighboring primes are 169181 and 169199; its proper-divisor sum differs from the starting integer by -21,134.

Prime Factor Structure

Factorization String 2^3 × 21149
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 317,250
Proper Divisor Sum 148,058
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #169181 ← → #169199

Radix Representation

Decimal 169192
Binary 101001010011101000 (18 bits)
Octal 0o512350
Hexadecimal 0x294E8

Divisor Catalog (8)

1 2 4 8 21,149 42,298 84,596 169,192

Collatz Trajectory (82 steps to reach 1)

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

169,192 84,596 42,298 21,149 63,448 31,724 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075

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