681,677

681677

Starting at 681,677, the Collatz iteration reaches 1 after 105 steps. The first transition is 2045032; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 681677

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 681,678

Proper Divisor Sum 1

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #681673 ← → #681689

Radix Representation

Decimal	681677
Binary	10100110011011001101 (20 bits)
Octal	0o2463315
Hexadecimal	0xA66CD

Divisor Catalog (2)

1 681,677

Collatz Trajectory (105 steps to reach 1)

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

681,677 2,045,032 1,022,516 511,258 255,629 766,888 383,444 191,722 95,861 287,584 143,792 71,896 35,948 17,974 8,987 26,962 13,481 40,444 20,222 10,111 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504 30,752 15,376 7,688 3,844 1,922 961 2,884 1,442 721

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