λ
Harmonic Matrix

155,779

13 × 23 × 521
Deficient Odd Composite

155,779 has digital root 7. The neighboring primes are 155777 and 155783; its proper-divisor sum differs from the starting integer by -136,166.

Prime Factor Structure

Factorization String 13 × 23 × 521
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 175,392
Proper Divisor Sum 19,613
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #155777 ← → #155783

Radix Representation

Decimal 155779
Binary 100110000010000011 (18 bits)
Octal 0o460203
Hexadecimal 0x26083

Divisor Catalog (8)

1 13 23 299 521 6,773 11,983 155,779

Collatz Trajectory (51 steps to reach 1)

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

155,779 467,338 233,669 701,008 350,504 175,252 87,626 43,813 131,440 65,720 32,860 16,430 8,215 24,646 12,323 36,970 18,485 55,456 27,728 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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