λ
Harmonic Matrix

155,122

2 × 112 × 641
Deficient Even Composite

155,122 has digital root 7. The neighboring primes are 155119 and 155137; its proper-divisor sum differs from the starting integer by -54,086.

Prime Factor Structure

Factorization String 2 × 11^2 × 641
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 256,158
Proper Divisor Sum 101,036
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #155119 ← → #155137

Radix Representation

Decimal 155122
Binary 100101110111110010 (18 bits)
Octal 0o456762
Hexadecimal 0x25DF2

Divisor Catalog (12)

1 2 11 22 121 242 641 1,282 7,051 14,102 77,561 155,122

Collatz Trajectory (77 steps to reach 1)

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

155,122 77,561 232,684 116,342 58,171 174,514 87,257 261,772 130,886 65,443 196,330 98,165 294,496 147,248 73,624 36,812 18,406 9,203 27,610 13,805 41,416 20,708 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28

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