177,109

177109

Starting at 177,109, the Collatz iteration reaches 1 after 103 steps. The first transition is 531328; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 177109

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 177,110

Proper Divisor Sum 1

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #177101 ← → #177113

Radix Representation

Decimal	177109
Binary	101011001111010101 (18 bits)
Octal	0o531725
Hexadecimal	0x2B3D5

Divisor Catalog (2)

1 177,109

Collatz Trajectory (103 steps to reach 1)

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

177,109 531,328 265,664 132,832 66,416 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748

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